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Finding the Fourth Proportional to 84.71, 126.89 and 54.13

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Solution

The fourth proportional to 84.71, 126.89 and 54.13 is: 81.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.71 : 126.89 = 54.13 : x
  2. Step 2: Convert to fraction form
    84.71/126.89 = 54.13/x
  3. Step 3: Cross multiply
    84.71x = 126.89 × 54.13
  4. Step 4: Simplify right side
    84.71x = 6,868.56
  5. Step 5: Solve for x
    x = 6,868.56/84.71
  6. Step 6: Final answer
    x = 81.08

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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.