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Finding the Fourth Proportional to 126.96, 174.31 and 116.02

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Solution

The fourth proportional to 126.96, 174.31 and 116.02 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.96 : 174.31 = 116.02 : x
  2. Step 2: Convert to fraction form
    126.96/174.31 = 116.02/x
  3. Step 3: Cross multiply
    126.96x = 174.31 × 116.02
  4. Step 4: Simplify right side
    126.96x = 20,223.45
  5. Step 5: Solve for x
    x = 20,223.45/126.96
  6. Step 6: Final answer
    x = 159.29

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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.