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Finding the Fourth Proportional to 112.92, 169.12 and 61.48

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Solution

The fourth proportional to 112.92, 169.12 and 61.48 is: 92.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.92 : 169.12 = 61.48 : x
  2. Step 2: Convert to fraction form
    112.92/169.12 = 61.48/x
  3. Step 3: Cross multiply
    112.92x = 169.12 × 61.48
  4. Step 4: Simplify right side
    112.92x = 10,397.50
  5. Step 5: Solve for x
    x = 10,397.50/112.92
  6. Step 6: Final answer
    x = 92.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.