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Finding the Fourth Proportional to 126.34, 174.21 and 119.50

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Solution

The fourth proportional to 126.34, 174.21 and 119.50 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.34 : 174.21 = 119.50 : x
  2. Step 2: Convert to fraction form
    126.34/174.21 = 119.50/x
  3. Step 3: Cross multiply
    126.34x = 174.21 × 119.50
  4. Step 4: Simplify right side
    126.34x = 20,818.10
  5. Step 5: Solve for x
    x = 20,818.10/126.34
  6. Step 6: Final answer
    x = 164.78

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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.