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Finding the Fourth Proportional to 69,305.38, 103,871.94 and 31,825.69

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Solution

The fourth proportional to 69,305.38, 103,871.94 and 31,825.69 is: 47,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,305.38 : 103,871.94 = 31,825.69 : x
  2. Step 2: Convert to fraction form
    69,305.38/103,871.94 = 31,825.69/x
  3. Step 3: Cross multiply
    69,305.38x = 103,871.94 × 31,825.69
  4. Step 4: Simplify right side
    69,305.38x = 3,305,796,162.14
  5. Step 5: Solve for x
    x = 3,305,796,162.14/69,305.38
  6. Step 6: Final answer
    x = 47,698.98

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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.