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Finding the Fourth Proportional to 83,972.48, 125,686.56 and 61,781.12

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Solution

The fourth proportional to 83,972.48, 125,686.56 and 61,781.12 is: 92,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,972.48 : 125,686.56 = 61,781.12 : x
  2. Step 2: Convert to fraction form
    83,972.48/125,686.56 = 61,781.12/x
  3. Step 3: Cross multiply
    83,972.48x = 125,686.56 × 61,781.12
  4. Step 4: Simplify right side
    83,972.48x = 7,765,056,445.75
  5. Step 5: Solve for x
    x = 7,765,056,445.75/83,972.48
  6. Step 6: Final answer
    x = 92,471.44

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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.