Questions: View Lab A bowling ball weighs 15 pounds on Earth and weighs 4 pounds on the planet Saturn. You could determine a 100pound earthling's weight on Saturn using the proportion:

View Lab

A bowling ball weighs 15 pounds on Earth and weighs 4 pounds on the planet Saturn. You could determine a 100pound earthling's weight on Saturn using the proportion:

Transcript text: View Lab A bowling ball weighs 15 pounds on Earth and weighs 4 pounds on the planet Saturn. You could determine a 100pound earthling's weight on Saturn using the proportion:

Solution

Solution Steps

Step 1: Understand the Proportion

To solve this problem, we need to understand the relationship between the weights of objects on Earth and Saturn. We are given that a bowling ball weighs 15 pounds on Earth and 4 pounds on Saturn. This gives us a proportion that relates Earth weight to Saturn weight.

Step 2: Set Up the Proportion

The proportion can be set up as follows:

\[ \frac{\text{Weight on Saturn}}{\text{Weight on Earth}} = \frac{4}{15} \]

We want to find the weight of a 100-pound earthling on Saturn. Let \( x \) be the weight of the earthling on Saturn. The proportion becomes:

\[ \frac{x}{100} = \frac{4}{15} \]

Step 3: Solve the Proportion

To find \( x \), we cross-multiply and solve for \( x \):

\[ x \cdot 15 = 4 \cdot 100 \]

\[ 15x = 400 \]

\[ x = \frac{400}{15} \]

\[ x \approx 26.6667 \]