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Finding the Fourth Proportional to 73,283.13, 109,922.87 and 20,691.86

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Solution

The fourth proportional to 73,283.13, 109,922.87 and 20,691.86 is: 31,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,283.13 : 109,922.87 = 20,691.86 : x
  2. Step 2: Convert to fraction form
    73,283.13/109,922.87 = 20,691.86/x
  3. Step 3: Cross multiply
    73,283.13x = 109,922.87 × 20,691.86
  4. Step 4: Simplify right side
    73,283.13x = 2,274,508,138.95
  5. Step 5: Solve for x
    x = 2,274,508,138.95/73,283.13
  6. Step 6: Final answer
    x = 31,037.27

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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.