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Finding the Fourth Proportional to 112.92, 168.36 and 109.44

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Solution

The fourth proportional to 112.92, 168.36 and 109.44 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.92 : 168.36 = 109.44 : x
  2. Step 2: Convert to fraction form
    112.92/168.36 = 109.44/x
  3. Step 3: Cross multiply
    112.92x = 168.36 × 109.44
  4. Step 4: Simplify right side
    112.92x = 18,425.32
  5. Step 5: Solve for x
    x = 18,425.32/112.92
  6. Step 6: Final answer
    x = 163.17

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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.