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Finding the Fourth Proportional to 136.09, 204.14 and 129.61

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Solution

The fourth proportional to 136.09, 204.14 and 129.61 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.09 : 204.14 = 129.61 : x
  2. Step 2: Convert to fraction form
    136.09/204.14 = 129.61/x
  3. Step 3: Cross multiply
    136.09x = 204.14 × 129.61
  4. Step 4: Simplify right side
    136.09x = 26,458.59
  5. Step 5: Solve for x
    x = 26,458.59/136.09
  6. Step 6: Final answer
    x = 194.42

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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.