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Finding the Fourth Proportional to 69,508.44, 104,181.99 and 31,989.73

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Solution

The fourth proportional to 69,508.44, 104,181.99 and 31,989.73 is: 47,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,508.44 : 104,181.99 = 31,989.73 : x
  2. Step 2: Convert to fraction form
    69,508.44/104,181.99 = 31,989.73/x
  3. Step 3: Cross multiply
    69,508.44x = 104,181.99 × 31,989.73
  4. Step 4: Simplify right side
    69,508.44x = 3,332,753,730.96
  5. Step 5: Solve for x
    x = 3,332,753,730.96/69,508.44
  6. Step 6: Final answer
    x = 47,947.47

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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.