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Finding the Fourth Proportional to 129.20, 193.44 and 80.88

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Solution

The fourth proportional to 129.20, 193.44 and 80.88 is: 121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 193.44 = 80.88 : x
  2. Step 2: Convert to fraction form
    129.20/193.44 = 80.88/x
  3. Step 3: Cross multiply
    129.20x = 193.44 × 80.88
  4. Step 4: Simplify right side
    129.20x = 15,645.43
  5. Step 5: Solve for x
    x = 15,645.43/129.20
  6. Step 6: Final answer
    x = 121.09

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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.