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Finding the Fourth Proportional to 157,397.49, 217,201.17 and 89,412.78

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Solution

The fourth proportional to 157,397.49, 217,201.17 and 89,412.78 is: 123,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,397.49 : 217,201.17 = 89,412.78 : x
  2. Step 2: Convert to fraction form
    157,397.49/217,201.17 = 89,412.78/x
  3. Step 3: Cross multiply
    157,397.49x = 217,201.17 × 89,412.78
  4. Step 4: Simplify right side
    157,397.49x = 19,420,560,428.95
  5. Step 5: Solve for x
    x = 19,420,560,428.95/157,397.49
  6. Step 6: Final answer
    x = 123,385.45

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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.