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Finding the Fourth Proportional to 123,834.80, 185,765.16 and 77,049.20

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Solution

The fourth proportional to 123,834.80, 185,765.16 and 77,049.20 is: 115,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,834.80 : 185,765.16 = 77,049.20 : x
  2. Step 2: Convert to fraction form
    123,834.80/185,765.16 = 77,049.20/x
  3. Step 3: Cross multiply
    123,834.80x = 185,765.16 × 77,049.20
  4. Step 4: Simplify right side
    123,834.80x = 14,313,056,965.87
  5. Step 5: Solve for x
    x = 14,313,056,965.87/123,834.80
  6. Step 6: Final answer
    x = 115,581.86

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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.