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Finding the Fourth Proportional to 123,517.44, 185,353.92 and 76,861.44

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Solution

The fourth proportional to 123,517.44, 185,353.92 and 76,861.44 is: 115,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,517.44 : 185,353.92 = 76,861.44 : x
  2. Step 2: Convert to fraction form
    123,517.44/185,353.92 = 76,861.44/x
  3. Step 3: Cross multiply
    123,517.44x = 185,353.92 × 76,861.44
  4. Step 4: Simplify right side
    123,517.44x = 14,246,569,200.84
  5. Step 5: Solve for x
    x = 14,246,569,200.84/123,517.44
  6. Step 6: Final answer
    x = 115,340.55

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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.