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Finding the Fourth Proportional to 112.49, 167.87 and 100.34

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Solution

The fourth proportional to 112.49, 167.87 and 100.34 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.49 : 167.87 = 100.34 : x
  2. Step 2: Convert to fraction form
    112.49/167.87 = 100.34/x
  3. Step 3: Cross multiply
    112.49x = 167.87 × 100.34
  4. Step 4: Simplify right side
    112.49x = 16,842.73
  5. Step 5: Solve for x
    x = 16,842.73/112.49
  6. Step 6: Final answer
    x = 149.73

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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.