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Finding the Fourth Proportional to 68,665, 102,998.12 and 27,112

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Solution

The fourth proportional to 68,665, 102,998.12 and 27,112 is: 40,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,665 : 102,998.12 = 27,112 : x
  2. Step 2: Convert to fraction form
    68,665/102,998.12 = 27,112/x
  3. Step 3: Cross multiply
    68,665x = 102,998.12 × 27,112
  4. Step 4: Simplify right side
    68,665x = 2,792,485,029.44
  5. Step 5: Solve for x
    x = 2,792,485,029.44/68,665
  6. Step 6: Final answer
    x = 40,668.24

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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.