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Finding the Fourth Proportional to 126.35, 174.21 and 106.61

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Solution

The fourth proportional to 126.35, 174.21 and 106.61 is: 146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.35 : 174.21 = 106.61 : x
  2. Step 2: Convert to fraction form
    126.35/174.21 = 106.61/x
  3. Step 3: Cross multiply
    126.35x = 174.21 × 106.61
  4. Step 4: Simplify right side
    126.35x = 18,571.66
  5. Step 5: Solve for x
    x = 18,571.66/126.35
  6. Step 6: Final answer
    x = 146.98

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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.