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Finding the Fourth Proportional to 84.12, 125.92 and 77.88

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Solution

The fourth proportional to 84.12, 125.92 and 77.88 is: 116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 125.92 = 77.88 : x
  2. Step 2: Convert to fraction form
    84.12/125.92 = 77.88/x
  3. Step 3: Cross multiply
    84.12x = 125.92 × 77.88
  4. Step 4: Simplify right side
    84.12x = 9,806.65
  5. Step 5: Solve for x
    x = 9,806.65/84.12
  6. Step 6: Final answer
    x = 116.58

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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.