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Finding the Fourth Proportional to 204,391.85, 306,500.29 and 71,232.71

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Solution

The fourth proportional to 204,391.85, 306,500.29 and 71,232.71 is: 106,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,391.85 : 306,500.29 = 71,232.71 : x
  2. Step 2: Convert to fraction form
    204,391.85/306,500.29 = 71,232.71/x
  3. Step 3: Cross multiply
    204,391.85x = 306,500.29 × 71,232.71
  4. Step 4: Simplify right side
    204,391.85x = 21,832,844,561.90
  5. Step 5: Solve for x
    x = 21,832,844,561.90/204,391.85
  6. Step 6: Final answer
    x = 106,818.57

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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.