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Finding the Fourth Proportional to 129.61, 177.82 and 126.19

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Solution

The fourth proportional to 129.61, 177.82 and 126.19 is: 173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.61 : 177.82 = 126.19 : x
  2. Step 2: Convert to fraction form
    129.61/177.82 = 126.19/x
  3. Step 3: Cross multiply
    129.61x = 177.82 × 126.19
  4. Step 4: Simplify right side
    129.61x = 22,439.11
  5. Step 5: Solve for x
    x = 22,439.11/129.61
  6. Step 6: Final answer
    x = 173.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.