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Finding the Fourth Proportional to 112.82, 169.32 and 82.47

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Solution

The fourth proportional to 112.82, 169.32 and 82.47 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.82 : 169.32 = 82.47 : x
  2. Step 2: Convert to fraction form
    112.82/169.32 = 82.47/x
  3. Step 3: Cross multiply
    112.82x = 169.32 × 82.47
  4. Step 4: Simplify right side
    112.82x = 13,963.64
  5. Step 5: Solve for x
    x = 13,963.64/112.82
  6. Step 6: Final answer
    x = 123.76

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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.