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Finding the Fourth Proportional to 112.56, 167.85 and 111.48

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Solution

The fourth proportional to 112.56, 167.85 and 111.48 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.56 : 167.85 = 111.48 : x
  2. Step 2: Convert to fraction form
    112.56/167.85 = 111.48/x
  3. Step 3: Cross multiply
    112.56x = 167.85 × 111.48
  4. Step 4: Simplify right side
    112.56x = 18,711.92
  5. Step 5: Solve for x
    x = 18,711.92/112.56
  6. Step 6: Final answer
    x = 166.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.