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Finding the Fourth Proportional to 126.60, 174.36 and 119.15

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Solution

The fourth proportional to 126.60, 174.36 and 119.15 is: 164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.60 : 174.36 = 119.15 : x
  2. Step 2: Convert to fraction form
    126.60/174.36 = 119.15/x
  3. Step 3: Cross multiply
    126.60x = 174.36 × 119.15
  4. Step 4: Simplify right side
    126.60x = 20,774.99
  5. Step 5: Solve for x
    x = 20,774.99/126.60
  6. Step 6: Final answer
    x = 164.11

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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.