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Finding the Fourth Proportional to 123,992.20, 185,729.10 and 68,523.40

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Solution

The fourth proportional to 123,992.20, 185,729.10 and 68,523.40 is: 102,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,992.20 : 185,729.10 = 68,523.40 : x
  2. Step 2: Convert to fraction form
    123,992.20/185,729.10 = 68,523.40/x
  3. Step 3: Cross multiply
    123,992.20x = 185,729.10 × 68,523.40
  4. Step 4: Simplify right side
    123,992.20x = 12,726,789,410.94
  5. Step 5: Solve for x
    x = 12,726,789,410.94/123,992.20
  6. Step 6: Final answer
    x = 102,641.85

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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.