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Finding the Fourth Proportional to 205,843.09, 284,063.46 and 111,635.09

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Solution

The fourth proportional to 205,843.09, 284,063.46 and 111,635.09 is: 154,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,843.09 : 284,063.46 = 111,635.09 : x
  2. Step 2: Convert to fraction form
    205,843.09/284,063.46 = 111,635.09/x
  3. Step 3: Cross multiply
    205,843.09x = 284,063.46 × 111,635.09
  4. Step 4: Simplify right side
    205,843.09x = 31,711,448,502.49
  5. Step 5: Solve for x
    x = 31,711,448,502.49/205,843.09
  6. Step 6: Final answer
    x = 154,056.42

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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.