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Finding the Fourth Proportional to 83,830.34, 125,800.89 and 39,469.77

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Solution

The fourth proportional to 83,830.34, 125,800.89 and 39,469.77 is: 59,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,830.34 : 125,800.89 = 39,469.77 : x
  2. Step 2: Convert to fraction form
    83,830.34/125,800.89 = 39,469.77/x
  3. Step 3: Cross multiply
    83,830.34x = 125,800.89 × 39,469.77
  4. Step 4: Simplify right side
    83,830.34x = 4,965,332,194.10
  5. Step 5: Solve for x
    x = 4,965,332,194.10/83,830.34
  6. Step 6: Final answer
    x = 59,230.73

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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.