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Finding the Fourth Proportional to 112.38, 167.64 and 105.54

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Solution

The fourth proportional to 112.38, 167.64 and 105.54 is: 157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.38 : 167.64 = 105.54 : x
  2. Step 2: Convert to fraction form
    112.38/167.64 = 105.54/x
  3. Step 3: Cross multiply
    112.38x = 167.64 × 105.54
  4. Step 4: Simplify right side
    112.38x = 17,692.73
  5. Step 5: Solve for x
    x = 17,692.73/112.38
  6. Step 6: Final answer
    x = 157.44

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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.