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Finding the Fourth Proportional to 83,715.80, 125,573.70 and 71,031.20

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Solution

The fourth proportional to 83,715.80, 125,573.70 and 71,031.20 is: 106,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,715.80 : 125,573.70 = 71,031.20 : x
  2. Step 2: Convert to fraction form
    83,715.80/125,573.70 = 71,031.20/x
  3. Step 3: Cross multiply
    83,715.80x = 125,573.70 × 71,031.20
  4. Step 4: Simplify right side
    83,715.80x = 8,919,650,599.44
  5. Step 5: Solve for x
    x = 8,919,650,599.44/83,715.80
  6. Step 6: Final answer
    x = 106,546.80

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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.