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Finding the Fourth Proportional to 112.89, 169.40 and 77.11

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Solution

The fourth proportional to 112.89, 169.40 and 77.11 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.89 : 169.40 = 77.11 : x
  2. Step 2: Convert to fraction form
    112.89/169.40 = 77.11/x
  3. Step 3: Cross multiply
    112.89x = 169.40 × 77.11
  4. Step 4: Simplify right side
    112.89x = 13,062.05
  5. Step 5: Solve for x
    x = 13,062.05/112.89
  6. Step 6: Final answer
    x = 115.71

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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.