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Finding the Fourth Proportional to 112.54, 167.44 and 106.78

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Solution

The fourth proportional to 112.54, 167.44 and 106.78 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.54 : 167.44 = 106.78 : x
  2. Step 2: Convert to fraction form
    112.54/167.44 = 106.78/x
  3. Step 3: Cross multiply
    112.54x = 167.44 × 106.78
  4. Step 4: Simplify right side
    112.54x = 17,879.24
  5. Step 5: Solve for x
    x = 17,879.24/112.54
  6. Step 6: Final answer
    x = 158.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.