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Finding the Fourth Proportional to 126.18, 174.31 and 98.91

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Solution

The fourth proportional to 126.18, 174.31 and 98.91 is: 136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.18 : 174.31 = 98.91 : x
  2. Step 2: Convert to fraction form
    126.18/174.31 = 98.91/x
  3. Step 3: Cross multiply
    126.18x = 174.31 × 98.91
  4. Step 4: Simplify right side
    126.18x = 17,241.21
  5. Step 5: Solve for x
    x = 17,241.21/126.18
  6. Step 6: Final answer
    x = 136.64

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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.