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Finding the Fourth Proportional to 72,635.92, 108,991.19 and 29,972.87

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Solution

The fourth proportional to 72,635.92, 108,991.19 and 29,972.87 is: 44,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,635.92 : 108,991.19 = 29,972.87 : x
  2. Step 2: Convert to fraction form
    72,635.92/108,991.19 = 29,972.87/x
  3. Step 3: Cross multiply
    72,635.92x = 108,991.19 × 29,972.87
  4. Step 4: Simplify right side
    72,635.92x = 3,266,778,707.71
  5. Step 5: Solve for x
    x = 3,266,778,707.71/72,635.92
  6. Step 6: Final answer
    x = 44,974.70

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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.