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Finding the Fourth Proportional to 68,800, 103,204.88 and 27,247

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Solution

The fourth proportional to 68,800, 103,204.88 and 27,247 is: 40,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,800 : 103,204.88 = 27,247 : x
  2. Step 2: Convert to fraction form
    68,800/103,204.88 = 27,247/x
  3. Step 3: Cross multiply
    68,800x = 103,204.88 × 27,247
  4. Step 4: Simplify right side
    68,800x = 2,812,023,365.36
  5. Step 5: Solve for x
    x = 2,812,023,365.36/68,800
  6. Step 6: Final answer
    x = 40,872.43

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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.