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Finding the Fourth Proportional to 72,278.80, 108,421.24 and 25,531.92

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Solution

The fourth proportional to 72,278.80, 108,421.24 and 25,531.92 is: 38,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,278.80 : 108,421.24 = 25,531.92 : x
  2. Step 2: Convert to fraction form
    72,278.80/108,421.24 = 25,531.92/x
  3. Step 3: Cross multiply
    72,278.80x = 108,421.24 × 25,531.92
  4. Step 4: Simplify right side
    72,278.80x = 2,768,202,425.98
  5. Step 5: Solve for x
    x = 2,768,202,425.98/72,278.80
  6. Step 6: Final answer
    x = 38,298.95

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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.