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Finding the Fourth Proportional to 136.13, 204.13 and 81.30

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Solution

The fourth proportional to 136.13, 204.13 and 81.30 is: 121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.13 : 204.13 = 81.30 : x
  2. Step 2: Convert to fraction form
    136.13/204.13 = 81.30/x
  3. Step 3: Cross multiply
    136.13x = 204.13 × 81.30
  4. Step 4: Simplify right side
    136.13x = 16,595.36
  5. Step 5: Solve for x
    x = 16,595.36/136.13
  6. Step 6: Final answer
    x = 121.91

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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.