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Finding the Fourth Proportional to 82.35, 123.55 and 41.78

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Solution

The fourth proportional to 82.35, 123.55 and 41.78 is: 62.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.35 : 123.55 = 41.78 : x
  2. Step 2: Convert to fraction form
    82.35/123.55 = 41.78/x
  3. Step 3: Cross multiply
    82.35x = 123.55 × 41.78
  4. Step 4: Simplify right side
    82.35x = 5,161.92
  5. Step 5: Solve for x
    x = 5,161.92/82.35
  6. Step 6: Final answer
    x = 62.68

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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.