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Finding the Fourth Proportional to 112.14, 168.60 and 91.86

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Solution

The fourth proportional to 112.14, 168.60 and 91.86 is: 138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.14 : 168.60 = 91.86 : x
  2. Step 2: Convert to fraction form
    112.14/168.60 = 91.86/x
  3. Step 3: Cross multiply
    112.14x = 168.60 × 91.86
  4. Step 4: Simplify right side
    112.14x = 15,487.60
  5. Step 5: Solve for x
    x = 15,487.60/112.14
  6. Step 6: Final answer
    x = 138.11

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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.