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Finding the Fourth Proportional to 112.90, 169.15 and 88.42

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Solution

The fourth proportional to 112.90, 169.15 and 88.42 is: 132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.90 : 169.15 = 88.42 : x
  2. Step 2: Convert to fraction form
    112.90/169.15 = 88.42/x
  3. Step 3: Cross multiply
    112.90x = 169.15 × 88.42
  4. Step 4: Simplify right side
    112.90x = 14,956.27
  5. Step 5: Solve for x
    x = 14,956.27/112.90
  6. Step 6: Final answer
    x = 132.48

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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.