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Finding the Fourth Proportional to 122.87, 168.34 and 119.90

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Solution

The fourth proportional to 122.87, 168.34 and 119.90 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.87 : 168.34 = 119.90 : x
  2. Step 2: Convert to fraction form
    122.87/168.34 = 119.90/x
  3. Step 3: Cross multiply
    122.87x = 168.34 × 119.90
  4. Step 4: Simplify right side
    122.87x = 20,183.97
  5. Step 5: Solve for x
    x = 20,183.97/122.87
  6. Step 6: Final answer
    x = 164.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.