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Finding the Fourth Proportional to 112.86, 168.98 and 80.70

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Solution

The fourth proportional to 112.86, 168.98 and 80.70 is: 120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.86 : 168.98 = 80.70 : x
  2. Step 2: Convert to fraction form
    112.86/168.98 = 80.70/x
  3. Step 3: Cross multiply
    112.86x = 168.98 × 80.70
  4. Step 4: Simplify right side
    112.86x = 13,636.69
  5. Step 5: Solve for x
    x = 13,636.69/112.86
  6. Step 6: Final answer
    x = 120.83

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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.