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Finding the Fourth Proportional to 100,432.17, 150,591.17 and 77,627.95

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Solution

The fourth proportional to 100,432.17, 150,591.17 and 77,627.95 is: 116,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.17 : 150,591.17 = 77,627.95 : x
  2. Step 2: Convert to fraction form
    100,432.17/150,591.17 = 77,627.95/x
  3. Step 3: Cross multiply
    100,432.17x = 150,591.17 × 77,627.95
  4. Step 4: Simplify right side
    100,432.17x = 11,690,084,043.21
  5. Step 5: Solve for x
    x = 11,690,084,043.21/100,432.17
  6. Step 6: Final answer
    x = 116,397.80

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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.