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Finding the Fourth Proportional to 147.78, 221.48 and 82.61

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Solution

The fourth proportional to 147.78, 221.48 and 82.61 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 221.48 = 82.61 : x
  2. Step 2: Convert to fraction form
    147.78/221.48 = 82.61/x
  3. Step 3: Cross multiply
    147.78x = 221.48 × 82.61
  4. Step 4: Simplify right side
    147.78x = 18,294.94
  5. Step 5: Solve for x
    x = 18,294.94/147.78
  6. Step 6: Final answer
    x = 123.80

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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.