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Finding the Fourth Proportional to 106.13, 146.59 and 81.87

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Solution

The fourth proportional to 106.13, 146.59 and 81.87 is: 113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 146.59 = 81.87 : x
  2. Step 2: Convert to fraction form
    106.13/146.59 = 81.87/x
  3. Step 3: Cross multiply
    106.13x = 146.59 × 81.87
  4. Step 4: Simplify right side
    106.13x = 12,000.59
  5. Step 5: Solve for x
    x = 12,000.59/106.13
  6. Step 6: Final answer
    x = 113.08

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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.