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Finding the Fourth Proportional to 122.43, 168.06 and 108.31

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Solution

The fourth proportional to 122.43, 168.06 and 108.31 is: 148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.43 : 168.06 = 108.31 : x
  2. Step 2: Convert to fraction form
    122.43/168.06 = 108.31/x
  3. Step 3: Cross multiply
    122.43x = 168.06 × 108.31
  4. Step 4: Simplify right side
    122.43x = 18,202.31
  5. Step 5: Solve for x
    x = 18,202.31/122.43
  6. Step 6: Final answer
    x = 148.67

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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.