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Finding the Fourth Proportional to 69,384, 95,749.92 and 39,576

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Solution

The fourth proportional to 69,384, 95,749.92 and 39,576 is: 54,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,384 : 95,749.92 = 39,576 : x
  2. Step 2: Convert to fraction form
    69,384/95,749.92 = 39,576/x
  3. Step 3: Cross multiply
    69,384x = 95,749.92 × 39,576
  4. Step 4: Simplify right side
    69,384x = 3,789,398,833.92
  5. Step 5: Solve for x
    x = 3,789,398,833.92/69,384
  6. Step 6: Final answer
    x = 54,614.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.