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Finding the Fourth Proportional to 123,591.60, 185,387.40 and 81,491.85

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Solution

The fourth proportional to 123,591.60, 185,387.40 and 81,491.85 is: 122,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,591.60 : 185,387.40 = 81,491.85 : x
  2. Step 2: Convert to fraction form
    123,591.60/185,387.40 = 81,491.85/x
  3. Step 3: Cross multiply
    123,591.60x = 185,387.40 × 81,491.85
  4. Step 4: Simplify right side
    123,591.60x = 15,107,562,192.69
  5. Step 5: Solve for x
    x = 15,107,562,192.69/123,591.60
  6. Step 6: Final answer
    x = 122,237.78

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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.