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Finding the Fourth Proportional to 72,468.59, 108,651.97 and 31,922.87

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Solution

The fourth proportional to 72,468.59, 108,651.97 and 31,922.87 is: 47,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,468.59 : 108,651.97 = 31,922.87 : x
  2. Step 2: Convert to fraction form
    72,468.59/108,651.97 = 31,922.87/x
  3. Step 3: Cross multiply
    72,468.59x = 108,651.97 × 31,922.87
  4. Step 4: Simplify right side
    72,468.59x = 3,468,482,090.49
  5. Step 5: Solve for x
    x = 3,468,482,090.49/72,468.59
  6. Step 6: Final answer
    x = 47,861.87

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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.