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Finding the Fourth Proportional to 122.65, 168.36 and 108.53

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Solution

The fourth proportional to 122.65, 168.36 and 108.53 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.65 : 168.36 = 108.53 : x
  2. Step 2: Convert to fraction form
    122.65/168.36 = 108.53/x
  3. Step 3: Cross multiply
    122.65x = 168.36 × 108.53
  4. Step 4: Simplify right side
    122.65x = 18,272.11
  5. Step 5: Solve for x
    x = 18,272.11/122.65
  6. Step 6: Final answer
    x = 148.98

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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.