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Finding the Fourth Proportional to 71,081.92, 106,644.78 and 51,136.48

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Solution

The fourth proportional to 71,081.92, 106,644.78 and 51,136.48 is: 76,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,081.92 : 106,644.78 = 51,136.48 : x
  2. Step 2: Convert to fraction form
    71,081.92/106,644.78 = 51,136.48/x
  3. Step 3: Cross multiply
    71,081.92x = 106,644.78 × 51,136.48
  4. Step 4: Simplify right side
    71,081.92x = 5,453,438,659.57
  5. Step 5: Solve for x
    x = 5,453,438,659.57/71,081.92
  6. Step 6: Final answer
    x = 76,720.47

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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.