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Finding the Fourth Proportional to 127.42, 191.08 and 54.25

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Solution

The fourth proportional to 127.42, 191.08 and 54.25 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 191.08 = 54.25 : x
  2. Step 2: Convert to fraction form
    127.42/191.08 = 54.25/x
  3. Step 3: Cross multiply
    127.42x = 191.08 × 54.25
  4. Step 4: Simplify right side
    127.42x = 10,364.97
  5. Step 5: Solve for x
    x = 10,364.97/127.42
  6. Step 6: Final answer
    x = 81.35

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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.