Finding the Fourth Proportional to 206,011.72, 284,272.68 and 115,355.08
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Solution
The fourth proportional to 206,011.72, 284,272.68 and 115,355.08 is: 159,176.86
Step by Step Solution
- Step 1: Write the proportion equation
206,011.72 : 284,272.68 = 115,355.08 : x - Step 2: Convert to fraction form
206,011.72/284,272.68 = 115,355.08/x - Step 3: Cross multiply
206,011.72x = 284,272.68 × 115,355.08 - Step 4: Simplify right side
206,011.72x = 32,792,297,743.21 - Step 5: Solve for x
x = 32,792,297,743.21/206,011.72 - Step 6: Final answer
x = 159,176.86
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.