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Finding the Fourth Proportional to 112.85, 168.15 and 100.57

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Solution

The fourth proportional to 112.85, 168.15 and 100.57 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.85 : 168.15 = 100.57 : x
  2. Step 2: Convert to fraction form
    112.85/168.15 = 100.57/x
  3. Step 3: Cross multiply
    112.85x = 168.15 × 100.57
  4. Step 4: Simplify right side
    112.85x = 16,910.68
  5. Step 5: Solve for x
    x = 16,910.68/112.85
  6. Step 6: Final answer
    x = 149.85

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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.