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Finding the Fourth Proportional to 68,796, 103,198.86 and 27,243

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Solution

The fourth proportional to 68,796, 103,198.86 and 27,243 is: 40,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,796 : 103,198.86 = 27,243 : x
  2. Step 2: Convert to fraction form
    68,796/103,198.86 = 27,243/x
  3. Step 3: Cross multiply
    68,796x = 103,198.86 × 27,243
  4. Step 4: Simplify right side
    68,796x = 2,811,446,542.98
  5. Step 5: Solve for x
    x = 2,811,446,542.98/68,796
  6. Step 6: Final answer
    x = 40,866.42

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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.