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Finding the Fourth Proportional to 129.20, 194.22 and 71.55

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Solution

The fourth proportional to 129.20, 194.22 and 71.55 is: 107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 194.22 = 71.55 : x
  2. Step 2: Convert to fraction form
    129.20/194.22 = 71.55/x
  3. Step 3: Cross multiply
    129.20x = 194.22 × 71.55
  4. Step 4: Simplify right side
    129.20x = 13,896.44
  5. Step 5: Solve for x
    x = 13,896.44/129.20
  6. Step 6: Final answer
    x = 107.56

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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.