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Finding the Fourth Proportional to 83,861.80, 125,861.55 and 83,205.70

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Solution

The fourth proportional to 83,861.80, 125,861.55 and 83,205.70 is: 124,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,861.80 : 125,861.55 = 83,205.70 : x
  2. Step 2: Convert to fraction form
    83,861.80/125,861.55 = 83,205.70/x
  3. Step 3: Cross multiply
    83,861.80x = 125,861.55 × 83,205.70
  4. Step 4: Simplify right side
    83,861.80x = 10,472,398,370.84
  5. Step 5: Solve for x
    x = 10,472,398,370.84/83,861.80
  6. Step 6: Final answer
    x = 124,876.86

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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.