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Finding the Fourth Proportional to 129.07, 177.14 and 127.09

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Solution

The fourth proportional to 129.07, 177.14 and 127.09 is: 174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.07 : 177.14 = 127.09 : x
  2. Step 2: Convert to fraction form
    129.07/177.14 = 127.09/x
  3. Step 3: Cross multiply
    129.07x = 177.14 × 127.09
  4. Step 4: Simplify right side
    129.07x = 22,512.72
  5. Step 5: Solve for x
    x = 22,512.72/129.07
  6. Step 6: Final answer
    x = 174.42

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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.