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Finding the Fourth Proportional to 68,472.92, 102,709.36 and 25,786.38

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Solution

The fourth proportional to 68,472.92, 102,709.36 and 25,786.38 is: 38,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,472.92 : 102,709.36 = 25,786.38 : x
  2. Step 2: Convert to fraction form
    68,472.92/102,709.36 = 25,786.38/x
  3. Step 3: Cross multiply
    68,472.92x = 102,709.36 × 25,786.38
  4. Step 4: Simplify right side
    68,472.92x = 2,648,502,586.52
  5. Step 5: Solve for x
    x = 2,648,502,586.52/68,472.92
  6. Step 6: Final answer
    x = 38,679.56

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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.