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Finding the Fourth Proportional to 106.05, 146.36 and 81.11

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Solution

The fourth proportional to 106.05, 146.36 and 81.11 is: 111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.05 : 146.36 = 81.11 : x
  2. Step 2: Convert to fraction form
    106.05/146.36 = 81.11/x
  3. Step 3: Cross multiply
    106.05x = 146.36 × 81.11
  4. Step 4: Simplify right side
    106.05x = 11,871.83
  5. Step 5: Solve for x
    x = 11,871.83/106.05
  6. Step 6: Final answer
    x = 111.95

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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.