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Finding the Fourth Proportional to 71,640.66, 107,447.21 and 68,084.54

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Solution

The fourth proportional to 71,640.66, 107,447.21 and 68,084.54 is: 102,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,640.66 : 107,447.21 = 68,084.54 : x
  2. Step 2: Convert to fraction form
    71,640.66/107,447.21 = 68,084.54/x
  3. Step 3: Cross multiply
    71,640.66x = 107,447.21 × 68,084.54
  4. Step 4: Simplify right side
    71,640.66x = 7,315,493,867.13
  5. Step 5: Solve for x
    x = 7,315,493,867.13/71,640.66
  6. Step 6: Final answer
    x = 102,113.71

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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.