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Finding the Fourth Proportional to 126.96, 191.18 and 114.27

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Solution

The fourth proportional to 126.96, 191.18 and 114.27 is: 172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.96 : 191.18 = 114.27 : x
  2. Step 2: Convert to fraction form
    126.96/191.18 = 114.27/x
  3. Step 3: Cross multiply
    126.96x = 191.18 × 114.27
  4. Step 4: Simplify right side
    126.96x = 21,846.14
  5. Step 5: Solve for x
    x = 21,846.14/126.96
  6. Step 6: Final answer
    x = 172.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.