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Finding the Fourth Proportional to 71,211.38, 106,781 and 23,809.62

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Solution

The fourth proportional to 71,211.38, 106,781 and 23,809.62 is: 35,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,211.38 : 106,781 = 23,809.62 : x
  2. Step 2: Convert to fraction form
    71,211.38/106,781 = 23,809.62/x
  3. Step 3: Cross multiply
    71,211.38x = 106,781 × 23,809.62
  4. Step 4: Simplify right side
    71,211.38x = 2,542,415,033.22
  5. Step 5: Solve for x
    x = 2,542,415,033.22/71,211.38
  6. Step 6: Final answer
    x = 35,702.37

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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.