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Finding the Fourth Proportional to 146.10, 218.91 and 81.78

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Solution

The fourth proportional to 146.10, 218.91 and 81.78 is: 122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.10 : 218.91 = 81.78 : x
  2. Step 2: Convert to fraction form
    146.10/218.91 = 81.78/x
  3. Step 3: Cross multiply
    146.10x = 218.91 × 81.78
  4. Step 4: Simplify right side
    146.10x = 17,902.46
  5. Step 5: Solve for x
    x = 17,902.46/146.10
  6. Step 6: Final answer
    x = 122.54

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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.