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Finding the Fourth Proportional to 111.88, 168.14 and 54.92

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Solution

The fourth proportional to 111.88, 168.14 and 54.92 is: 82.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.88 : 168.14 = 54.92 : x
  2. Step 2: Convert to fraction form
    111.88/168.14 = 54.92/x
  3. Step 3: Cross multiply
    111.88x = 168.14 × 54.92
  4. Step 4: Simplify right side
    111.88x = 9,234.25
  5. Step 5: Solve for x
    x = 9,234.25/111.88
  6. Step 6: Final answer
    x = 82.54

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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.