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Finding the Fourth Proportional to 126.98, 175.24 and 74.56

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Solution

The fourth proportional to 126.98, 175.24 and 74.56 is: 102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.98 : 175.24 = 74.56 : x
  2. Step 2: Convert to fraction form
    126.98/175.24 = 74.56/x
  3. Step 3: Cross multiply
    126.98x = 175.24 × 74.56
  4. Step 4: Simplify right side
    126.98x = 13,065.89
  5. Step 5: Solve for x
    x = 13,065.89/126.98
  6. Step 6: Final answer
    x = 102.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.