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Finding the Fourth Proportional to 122.60, 168.17 and 111.40

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Solution

The fourth proportional to 122.60, 168.17 and 111.40 is: 152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.60 : 168.17 = 111.40 : x
  2. Step 2: Convert to fraction form
    122.60/168.17 = 111.40/x
  3. Step 3: Cross multiply
    122.60x = 168.17 × 111.40
  4. Step 4: Simplify right side
    122.60x = 18,734.14
  5. Step 5: Solve for x
    x = 18,734.14/122.60
  6. Step 6: Final answer
    x = 152.81

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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.