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Finding the Fourth Proportional to 129.26, 177.03 and 123.09

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Solution

The fourth proportional to 129.26, 177.03 and 123.09 is: 168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.26 : 177.03 = 123.09 : x
  2. Step 2: Convert to fraction form
    129.26/177.03 = 123.09/x
  3. Step 3: Cross multiply
    129.26x = 177.03 × 123.09
  4. Step 4: Simplify right side
    129.26x = 21,790.62
  5. Step 5: Solve for x
    x = 21,790.62/129.26
  6. Step 6: Final answer
    x = 168.59

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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.