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Finding the Fourth Proportional to 72,519.73, 108,812.22 and 39,200.78

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Solution

The fourth proportional to 72,519.73, 108,812.22 and 39,200.78 is: 58,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,519.73 : 108,812.22 = 39,200.78 : x
  2. Step 2: Convert to fraction form
    72,519.73/108,812.22 = 39,200.78/x
  3. Step 3: Cross multiply
    72,519.73x = 108,812.22 × 39,200.78
  4. Step 4: Simplify right side
    72,519.73x = 4,265,524,169.56
  5. Step 5: Solve for x
    x = 4,265,524,169.56/72,519.73
  6. Step 6: Final answer
    x = 58,818.81

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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.