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Finding the Fourth Proportional to 126.18, 173.39 and 102.81

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Solution

The fourth proportional to 126.18, 173.39 and 102.81 is: 141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.18 : 173.39 = 102.81 : x
  2. Step 2: Convert to fraction form
    126.18/173.39 = 102.81/x
  3. Step 3: Cross multiply
    126.18x = 173.39 × 102.81
  4. Step 4: Simplify right side
    126.18x = 17,825.71
  5. Step 5: Solve for x
    x = 17,825.71/126.18
  6. Step 6: Final answer
    x = 141.27

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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.