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Finding the Fourth Proportional to 83,843.60, 125,617.78 and 78,849.04

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Solution

The fourth proportional to 83,843.60, 125,617.78 and 78,849.04 is: 118,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.60 : 125,617.78 = 78,849.04 : x
  2. Step 2: Convert to fraction form
    83,843.60/125,617.78 = 78,849.04/x
  3. Step 3: Cross multiply
    83,843.60x = 125,617.78 × 78,849.04
  4. Step 4: Simplify right side
    83,843.60x = 9,904,840,965.69
  5. Step 5: Solve for x
    x = 9,904,840,965.69/83,843.60
  6. Step 6: Final answer
    x = 118,134.73

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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.