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Finding the Fourth Proportional to 72,711.20, 109,073.02 and 20,120.60

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Solution

The fourth proportional to 72,711.20, 109,073.02 and 20,120.60 is: 30,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,711.20 : 109,073.02 = 20,120.60 : x
  2. Step 2: Convert to fraction form
    72,711.20/109,073.02 = 20,120.60/x
  3. Step 3: Cross multiply
    72,711.20x = 109,073.02 × 20,120.60
  4. Step 4: Simplify right side
    72,711.20x = 2,194,614,606.21
  5. Step 5: Solve for x
    x = 2,194,614,606.21/72,711.20
  6. Step 6: Final answer
    x = 30,182.62

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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.