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Finding the Fourth Proportional to 68,481.28, 102,723.27 and 31,034.44

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Solution

The fourth proportional to 68,481.28, 102,723.27 and 31,034.44 is: 46,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,481.28 : 102,723.27 = 31,034.44 : x
  2. Step 2: Convert to fraction form
    68,481.28/102,723.27 = 31,034.44/x
  3. Step 3: Cross multiply
    68,481.28x = 102,723.27 × 31,034.44
  4. Step 4: Simplify right side
    68,481.28x = 3,187,958,490.63
  5. Step 5: Solve for x
    x = 3,187,958,490.63/68,481.28
  6. Step 6: Final answer
    x = 46,552.27

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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.