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Finding the Fourth Proportional to 71,966.40, 107,949.60 and 25,213.20

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Solution

The fourth proportional to 71,966.40, 107,949.60 and 25,213.20 is: 37,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966.40 : 107,949.60 = 25,213.20 : x
  2. Step 2: Convert to fraction form
    71,966.40/107,949.60 = 25,213.20/x
  3. Step 3: Cross multiply
    71,966.40x = 107,949.60 × 25,213.20
  4. Step 4: Simplify right side
    71,966.40x = 2,721,754,854.72
  5. Step 5: Solve for x
    x = 2,721,754,854.72/71,966.40
  6. Step 6: Final answer
    x = 37,819.80

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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.