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Finding the Fourth Proportional to 78,694.60, 118,049.10 and 31,937.80

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Solution

The fourth proportional to 78,694.60, 118,049.10 and 31,937.80 is: 47,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,694.60 : 118,049.10 = 31,937.80 : x
  2. Step 2: Convert to fraction form
    78,694.60/118,049.10 = 31,937.80/x
  3. Step 3: Cross multiply
    78,694.60x = 118,049.10 × 31,937.80
  4. Step 4: Simplify right side
    78,694.60x = 3,770,228,545.98
  5. Step 5: Solve for x
    x = 3,770,228,545.98/78,694.60
  6. Step 6: Final answer
    x = 47,909.62

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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.