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Finding the Fourth Proportional to 83,722.60, 125,583.90 and 72,447.40

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Solution

The fourth proportional to 83,722.60, 125,583.90 and 72,447.40 is: 108,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.60 : 125,583.90 = 72,447.40 : x
  2. Step 2: Convert to fraction form
    83,722.60/125,583.90 = 72,447.40/x
  3. Step 3: Cross multiply
    83,722.60x = 125,583.90 × 72,447.40
  4. Step 4: Simplify right side
    83,722.60x = 9,098,227,036.86
  5. Step 5: Solve for x
    x = 9,098,227,036.86/83,722.60
  6. Step 6: Final answer
    x = 108,671.10

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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.