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Finding the Fourth Proportional to 146.78, 220.10 and 85.93

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Solution

The fourth proportional to 146.78, 220.10 and 85.93 is: 128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.78 : 220.10 = 85.93 : x
  2. Step 2: Convert to fraction form
    146.78/220.10 = 85.93/x
  3. Step 3: Cross multiply
    146.78x = 220.10 × 85.93
  4. Step 4: Simplify right side
    146.78x = 18,912.76
  5. Step 5: Solve for x
    x = 18,912.76/146.78
  6. Step 6: Final answer
    x = 128.85

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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.