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Finding the Fourth Proportional to 122,781.60, 169,337.52 and 72,432

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Solution

The fourth proportional to 122,781.60, 169,337.52 and 72,432 is: 99,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,781.60 : 169,337.52 = 72,432 : x
  2. Step 2: Convert to fraction form
    122,781.60/169,337.52 = 72,432/x
  3. Step 3: Cross multiply
    122,781.60x = 169,337.52 × 72,432
  4. Step 4: Simplify right side
    122,781.60x = 12,265,455,248.64
  5. Step 5: Solve for x
    x = 12,265,455,248.64/122,781.60
  6. Step 6: Final answer
    x = 99,896.53

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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.