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Finding the Fourth Proportional to 87.84, 120.47 and 82.17

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Solution

The fourth proportional to 87.84, 120.47 and 82.17 is: 112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 120.47 = 82.17 : x
  2. Step 2: Convert to fraction form
    87.84/120.47 = 82.17/x
  3. Step 3: Cross multiply
    87.84x = 120.47 × 82.17
  4. Step 4: Simplify right side
    87.84x = 9,898.61
  5. Step 5: Solve for x
    x = 9,898.61/87.84
  6. Step 6: Final answer
    x = 112.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.