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Finding the Fourth Proportional to 126.64, 173.97 and 122.12

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Solution

The fourth proportional to 126.64, 173.97 and 122.12 is: 167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.64 : 173.97 = 122.12 : x
  2. Step 2: Convert to fraction form
    126.64/173.97 = 122.12/x
  3. Step 3: Cross multiply
    126.64x = 173.97 × 122.12
  4. Step 4: Simplify right side
    126.64x = 21,245.22
  5. Step 5: Solve for x
    x = 21,245.22/126.64
  6. Step 6: Final answer
    x = 167.76

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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.