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Finding the Fourth Proportional to 171,324.78, 256,839.36 and 82,456.02

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Solution

The fourth proportional to 171,324.78, 256,839.36 and 82,456.02 is: 123,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,324.78 : 256,839.36 = 82,456.02 : x
  2. Step 2: Convert to fraction form
    171,324.78/256,839.36 = 82,456.02/x
  3. Step 3: Cross multiply
    171,324.78x = 256,839.36 × 82,456.02
  4. Step 4: Simplify right side
    171,324.78x = 21,177,951,404.95
  5. Step 5: Solve for x
    x = 21,177,951,404.95/171,324.78
  6. Step 6: Final answer
    x = 123,612.89

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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.