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Finding the Fourth Proportional to 206,865.36, 310,299.12 and 82,206.72

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Solution

The fourth proportional to 206,865.36, 310,299.12 and 82,206.72 is: 123,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,865.36 : 310,299.12 = 82,206.72 : x
  2. Step 2: Convert to fraction form
    206,865.36/310,299.12 = 82,206.72/x
  3. Step 3: Cross multiply
    206,865.36x = 310,299.12 × 82,206.72
  4. Step 4: Simplify right side
    206,865.36x = 25,508,672,874.09
  5. Step 5: Solve for x
    x = 25,508,672,874.09/206,865.36
  6. Step 6: Final answer
    x = 123,310.51

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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.