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Finding the Fourth Proportional to 81.71, 112.67 and 69.24

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Solution

The fourth proportional to 81.71, 112.67 and 69.24 is: 95.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.71 : 112.67 = 69.24 : x
  2. Step 2: Convert to fraction form
    81.71/112.67 = 69.24/x
  3. Step 3: Cross multiply
    81.71x = 112.67 × 69.24
  4. Step 4: Simplify right side
    81.71x = 7,800.92
  5. Step 5: Solve for x
    x = 7,800.92/81.71
  6. Step 6: Final answer
    x = 95.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.