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Finding the Fourth Proportional to 71,083.14, 106,620.38 and 21,163.38

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Solution

The fourth proportional to 71,083.14, 106,620.38 and 21,163.38 is: 31,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,083.14 : 106,620.38 = 21,163.38 : x
  2. Step 2: Convert to fraction form
    71,083.14/106,620.38 = 21,163.38/x
  3. Step 3: Cross multiply
    71,083.14x = 106,620.38 × 21,163.38
  4. Step 4: Simplify right side
    71,083.14x = 2,256,447,617.68
  5. Step 5: Solve for x
    x = 2,256,447,617.68/71,083.14
  6. Step 6: Final answer
    x = 31,743.78

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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.