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Finding the Fourth Proportional to 206,388.94, 284,695.85 and 129,786.83

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Solution

The fourth proportional to 206,388.94, 284,695.85 and 129,786.83 is: 179,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,388.94 : 284,695.85 = 129,786.83 : x
  2. Step 2: Convert to fraction form
    206,388.94/284,695.85 = 129,786.83/x
  3. Step 3: Cross multiply
    206,388.94x = 284,695.85 × 129,786.83
  4. Step 4: Simplify right side
    206,388.94x = 36,949,771,236.72
  5. Step 5: Solve for x
    x = 36,949,771,236.72/206,388.94
  6. Step 6: Final answer
    x = 179,029.81

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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.