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Finding the Fourth Proportional to 126.49, 175.36 and 122.04

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Solution

The fourth proportional to 126.49, 175.36 and 122.04 is: 169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.49 : 175.36 = 122.04 : x
  2. Step 2: Convert to fraction form
    126.49/175.36 = 122.04/x
  3. Step 3: Cross multiply
    126.49x = 175.36 × 122.04
  4. Step 4: Simplify right side
    126.49x = 21,400.93
  5. Step 5: Solve for x
    x = 21,400.93/126.49
  6. Step 6: Final answer
    x = 169.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.