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Finding the Fourth Proportional to 83,999.80, 125,951.10 and 31,414.60

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Solution

The fourth proportional to 83,999.80, 125,951.10 and 31,414.60 is: 47,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,999.80 : 125,951.10 = 31,414.60 : x
  2. Step 2: Convert to fraction form
    83,999.80/125,951.10 = 31,414.60/x
  3. Step 3: Cross multiply
    83,999.80x = 125,951.10 × 31,414.60
  4. Step 4: Simplify right side
    83,999.80x = 3,956,703,426.06
  5. Step 5: Solve for x
    x = 3,956,703,426.06/83,999.80
  6. Step 6: Final answer
    x = 47,103.72

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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.