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Finding the Fourth Proportional to 71,083.92, 106,647.78 and 51,138.48

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Solution

The fourth proportional to 71,083.92, 106,647.78 and 51,138.48 is: 76,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,083.92 : 106,647.78 = 51,138.48 : x
  2. Step 2: Convert to fraction form
    71,083.92/106,647.78 = 51,138.48/x
  3. Step 3: Cross multiply
    71,083.92x = 106,647.78 × 51,138.48
  4. Step 4: Simplify right side
    71,083.92x = 5,453,805,364.57
  5. Step 5: Solve for x
    x = 5,453,805,364.57/71,083.92
  6. Step 6: Final answer
    x = 76,723.48

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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.