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Finding the Fourth Proportional to 83,909.39, 125,865.77 and 31,308.39

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Solution

The fourth proportional to 83,909.39, 125,865.77 and 31,308.39 is: 46,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909.39 : 125,865.77 = 31,308.39 : x
  2. Step 2: Convert to fraction form
    83,909.39/125,865.77 = 31,308.39/x
  3. Step 3: Cross multiply
    83,909.39x = 125,865.77 × 31,308.39
  4. Step 4: Simplify right side
    83,909.39x = 3,940,654,458.27
  5. Step 5: Solve for x
    x = 3,940,654,458.27/83,909.39
  6. Step 6: Final answer
    x = 46,963.21

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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.