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Finding the Fourth Proportional to 83,471.88, 125,207.82 and 21,147.24

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Solution

The fourth proportional to 83,471.88, 125,207.82 and 21,147.24 is: 31,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471.88 : 125,207.82 = 21,147.24 : x
  2. Step 2: Convert to fraction form
    83,471.88/125,207.82 = 21,147.24/x
  3. Step 3: Cross multiply
    83,471.88x = 125,207.82 × 21,147.24
  4. Step 4: Simplify right side
    83,471.88x = 2,647,799,819.42
  5. Step 5: Solve for x
    x = 2,647,799,819.42/83,471.88
  6. Step 6: Final answer
    x = 31,720.86

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1.5x scale

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.