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Finding the Fourth Proportional to 126.40, 173.30 and 124.09

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Solution

The fourth proportional to 126.40, 173.30 and 124.09 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 173.30 = 124.09 : x
  2. Step 2: Convert to fraction form
    126.40/173.30 = 124.09/x
  3. Step 3: Cross multiply
    126.40x = 173.30 × 124.09
  4. Step 4: Simplify right side
    126.40x = 21,503.31
  5. Step 5: Solve for x
    x = 21,503.31/126.40
  6. Step 6: Final answer
    x = 170.12

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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.