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Finding the Fourth Proportional to 87.87, 120.55 and 82.35

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Solution

The fourth proportional to 87.87, 120.55 and 82.35 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.87 : 120.55 = 82.35 : x
  2. Step 2: Convert to fraction form
    87.87/120.55 = 82.35/x
  3. Step 3: Cross multiply
    87.87x = 120.55 × 82.35
  4. Step 4: Simplify right side
    87.87x = 9,927.09
  5. Step 5: Solve for x
    x = 9,927.09/87.87
  6. Step 6: Final answer
    x = 112.97

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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.