Finding the Fourth Proportional to 206,089.97, 284,542.88 and 128,683.44
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Solution
The fourth proportional to 206,089.97, 284,542.88 and 128,683.44 is: 177,669.77
Step by Step Solution
- Step 1: Write the proportion equation
206,089.97 : 284,542.88 = 128,683.44 : x - Step 2: Convert to fraction form
206,089.97/284,542.88 = 128,683.44/x - Step 3: Cross multiply
206,089.97x = 284,542.88 × 128,683.44 - Step 4: Simplify right side
206,089.97x = 36,615,955,982.49 - Step 5: Solve for x
x = 36,615,955,982.49/206,089.97 - Step 6: Final answer
x = 177,669.77
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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.