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Finding the Fourth Proportional to 106.50, 146.82 and 81.90

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Solution

The fourth proportional to 106.50, 146.82 and 81.90 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 146.82 = 81.90 : x
  2. Step 2: Convert to fraction form
    106.50/146.82 = 81.90/x
  3. Step 3: Cross multiply
    106.50x = 146.82 × 81.90
  4. Step 4: Simplify right side
    106.50x = 12,024.56
  5. Step 5: Solve for x
    x = 12,024.56/106.50
  6. Step 6: Final answer
    x = 112.91

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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.