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Finding the Fourth Proportional to 127.11, 190.51 and 53.96

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Solution

The fourth proportional to 127.11, 190.51 and 53.96 is: 80.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.11 : 190.51 = 53.96 : x
  2. Step 2: Convert to fraction form
    127.11/190.51 = 53.96/x
  3. Step 3: Cross multiply
    127.11x = 190.51 × 53.96
  4. Step 4: Simplify right side
    127.11x = 10,278.97
  5. Step 5: Solve for x
    x = 10,278.97/127.11
  6. Step 6: Final answer
    x = 80.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.