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Finding the Fourth Proportional to 73,000.80, 109,731.60 and 67,471.20

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Solution

The fourth proportional to 73,000.80, 109,731.60 and 67,471.20 is: 101,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,000.80 : 109,731.60 = 67,471.20 : x
  2. Step 2: Convert to fraction form
    73,000.80/109,731.60 = 67,471.20/x
  3. Step 3: Cross multiply
    73,000.80x = 109,731.60 × 67,471.20
  4. Step 4: Simplify right side
    73,000.80x = 7,403,722,729.92
  5. Step 5: Solve for x
    x = 7,403,722,729.92/73,000.80
  6. Step 6: Final answer
    x = 101,419.75

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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.