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Finding the Fourth Proportional to 136.28, 187.92 and 89.71

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Solution

The fourth proportional to 136.28, 187.92 and 89.71 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.28 : 187.92 = 89.71 : x
  2. Step 2: Convert to fraction form
    136.28/187.92 = 89.71/x
  3. Step 3: Cross multiply
    136.28x = 187.92 × 89.71
  4. Step 4: Simplify right side
    136.28x = 16,857.83
  5. Step 5: Solve for x
    x = 16,857.83/136.28
  6. Step 6: Final answer
    x = 123.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.