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Finding the Fourth Proportional to 106.14, 159.29 and 54.78

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Solution

The fourth proportional to 106.14, 159.29 and 54.78 is: 82.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 159.29 = 54.78 : x
  2. Step 2: Convert to fraction form
    106.14/159.29 = 54.78/x
  3. Step 3: Cross multiply
    106.14x = 159.29 × 54.78
  4. Step 4: Simplify right side
    106.14x = 8,725.91
  5. Step 5: Solve for x
    x = 8,725.91/106.14
  6. Step 6: Final answer
    x = 82.21

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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.