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Finding the Fourth Proportional to 126.86, 191.50 and 126.14

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Solution

The fourth proportional to 126.86, 191.50 and 126.14 is: 190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 191.50 = 126.14 : x
  2. Step 2: Convert to fraction form
    126.86/191.50 = 126.14/x
  3. Step 3: Cross multiply
    126.86x = 191.50 × 126.14
  4. Step 4: Simplify right side
    126.86x = 24,155.81
  5. Step 5: Solve for x
    x = 24,155.81/126.86
  6. Step 6: Final answer
    x = 190.41

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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.