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Finding the Fourth Proportional to 126.72, 174.96 and 102.18

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Solution

The fourth proportional to 126.72, 174.96 and 102.18 is: 141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.72 : 174.96 = 102.18 : x
  2. Step 2: Convert to fraction form
    126.72/174.96 = 102.18/x
  3. Step 3: Cross multiply
    126.72x = 174.96 × 102.18
  4. Step 4: Simplify right side
    126.72x = 17,877.41
  5. Step 5: Solve for x
    x = 17,877.41/126.72
  6. Step 6: Final answer
    x = 141.08

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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.