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Finding the Fourth Proportional to 106.20, 146.31 and 81.56

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Solution

The fourth proportional to 106.20, 146.31 and 81.56 is: 112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.20 : 146.31 = 81.56 : x
  2. Step 2: Convert to fraction form
    106.20/146.31 = 81.56/x
  3. Step 3: Cross multiply
    106.20x = 146.31 × 81.56
  4. Step 4: Simplify right side
    106.20x = 11,932.31
  5. Step 5: Solve for x
    x = 11,932.31/106.20
  6. Step 6: Final answer
    x = 112.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.