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Finding the Fourth Proportional to 129.72, 177.87 and 122.43

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Solution

The fourth proportional to 129.72, 177.87 and 122.43 is: 167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.72 : 177.87 = 122.43 : x
  2. Step 2: Convert to fraction form
    129.72/177.87 = 122.43/x
  3. Step 3: Cross multiply
    129.72x = 177.87 × 122.43
  4. Step 4: Simplify right side
    129.72x = 21,776.62
  5. Step 5: Solve for x
    x = 21,776.62/129.72
  6. Step 6: Final answer
    x = 167.87

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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.