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Finding the Fourth Proportional to 125.92, 187.82 and 112.24

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Solution

The fourth proportional to 125.92, 187.82 and 112.24 is: 167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.92 : 187.82 = 112.24 : x
  2. Step 2: Convert to fraction form
    125.92/187.82 = 112.24/x
  3. Step 3: Cross multiply
    125.92x = 187.82 × 112.24
  4. Step 4: Simplify right side
    125.92x = 21,080.92
  5. Step 5: Solve for x
    x = 21,080.92/125.92
  6. Step 6: Final answer
    x = 167.42

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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.