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Finding the Fourth Proportional to 129.52, 194.52 and 114.10

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Solution

The fourth proportional to 129.52, 194.52 and 114.10 is: 171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.52 : 194.52 = 114.10 : x
  2. Step 2: Convert to fraction form
    129.52/194.52 = 114.10/x
  3. Step 3: Cross multiply
    129.52x = 194.52 × 114.10
  4. Step 4: Simplify right side
    129.52x = 22,194.73
  5. Step 5: Solve for x
    x = 22,194.73/129.52
  6. Step 6: Final answer
    x = 171.36

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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.