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Finding the Fourth Proportional to 206,108.56, 284,414.97 and 115,449.19

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Solution

The fourth proportional to 206,108.56, 284,414.97 and 115,449.19 is: 159,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,108.56 : 284,414.97 = 115,449.19 : x
  2. Step 2: Convert to fraction form
    206,108.56/284,414.97 = 115,449.19/x
  3. Step 3: Cross multiply
    206,108.56x = 284,414.97 × 115,449.19
  4. Step 4: Simplify right side
    206,108.56x = 32,835,477,910.37
  5. Step 5: Solve for x
    x = 32,835,477,910.37/206,108.56
  6. Step 6: Final answer
    x = 159,311.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.