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Finding the Fourth Proportional to 122.11, 167.88 and 108.87

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Solution

The fourth proportional to 122.11, 167.88 and 108.87 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.11 : 167.88 = 108.87 : x
  2. Step 2: Convert to fraction form
    122.11/167.88 = 108.87/x
  3. Step 3: Cross multiply
    122.11x = 167.88 × 108.87
  4. Step 4: Simplify right side
    122.11x = 18,277.10
  5. Step 5: Solve for x
    x = 18,277.10/122.11
  6. Step 6: Final answer
    x = 149.68

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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.