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Finding the Fourth Proportional to 69,509.31, 104,183.30 and 31,990.61

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Solution

The fourth proportional to 69,509.31, 104,183.30 and 31,990.61 is: 47,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,509.31 : 104,183.30 = 31,990.61 : x
  2. Step 2: Convert to fraction form
    69,509.31/104,183.30 = 31,990.61/x
  3. Step 3: Cross multiply
    69,509.31x = 104,183.30 × 31,990.61
  4. Step 4: Simplify right side
    69,509.31x = 3,332,886,637.94
  5. Step 5: Solve for x
    x = 3,332,886,637.94/69,509.31
  6. Step 6: Final answer
    x = 47,948.78

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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.