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Finding the Fourth Proportional to 157,542.42, 217,400 and 89,549.96

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Solution

The fourth proportional to 157,542.42, 217,400 and 89,549.96 is: 123,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,542.42 : 217,400 = 89,549.96 : x
  2. Step 2: Convert to fraction form
    157,542.42/217,400 = 89,549.96/x
  3. Step 3: Cross multiply
    157,542.42x = 217,400 × 89,549.96
  4. Step 4: Simplify right side
    157,542.42x = 19,468,161,304
  5. Step 5: Solve for x
    x = 19,468,161,304/157,542.42
  6. Step 6: Final answer
    x = 123,574.09

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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.