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Finding the Fourth Proportional to 111.54, 167.15 and 54.58

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Solution

The fourth proportional to 111.54, 167.15 and 54.58 is: 81.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.54 : 167.15 = 54.58 : x
  2. Step 2: Convert to fraction form
    111.54/167.15 = 54.58/x
  3. Step 3: Cross multiply
    111.54x = 167.15 × 54.58
  4. Step 4: Simplify right side
    111.54x = 9,123.05
  5. Step 5: Solve for x
    x = 9,123.05/111.54
  6. Step 6: Final answer
    x = 81.79

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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.