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Finding the Fourth Proportional to 256,517.38, 384,781.53 and 88,036.97

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Solution

The fourth proportional to 256,517.38, 384,781.53 and 88,036.97 is: 132,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,517.38 : 384,781.53 = 88,036.97 : x
  2. Step 2: Convert to fraction form
    256,517.38/384,781.53 = 88,036.97/x
  3. Step 3: Cross multiply
    256,517.38x = 384,781.53 × 88,036.97
  4. Step 4: Simplify right side
    256,517.38x = 33,875,000,013.16
  5. Step 5: Solve for x
    x = 33,875,000,013.16/256,517.38
  6. Step 6: Final answer
    x = 132,057.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.