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Finding the Fourth Proportional to 136.05, 187.76 and 86.92

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Solution

The fourth proportional to 136.05, 187.76 and 86.92 is: 119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.05 : 187.76 = 86.92 : x
  2. Step 2: Convert to fraction form
    136.05/187.76 = 86.92/x
  3. Step 3: Cross multiply
    136.05x = 187.76 × 86.92
  4. Step 4: Simplify right side
    136.05x = 16,320.10
  5. Step 5: Solve for x
    x = 16,320.10/136.05
  6. Step 6: Final answer
    x = 119.96

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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.