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Finding the Fourth Proportional to 206,410.68, 284,850 and 115,786.80

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Solution

The fourth proportional to 206,410.68, 284,850 and 115,786.80 is: 159,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,410.68 : 284,850 = 115,786.80 : x
  2. Step 2: Convert to fraction form
    206,410.68/284,850 = 115,786.80/x
  3. Step 3: Cross multiply
    206,410.68x = 284,850 × 115,786.80
  4. Step 4: Simplify right side
    206,410.68x = 32,981,869,980
  5. Step 5: Solve for x
    x = 32,981,869,980/206,410.68
  6. Step 6: Final answer
    x = 159,787.61

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1.5x scale

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.