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Finding the Fourth Proportional to 206,888, 285,505.44 and 112,680

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Solution

The fourth proportional to 206,888, 285,505.44 and 112,680 is: 155,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,888 : 285,505.44 = 112,680 : x
  2. Step 2: Convert to fraction form
    206,888/285,505.44 = 112,680/x
  3. Step 3: Cross multiply
    206,888x = 285,505.44 × 112,680
  4. Step 4: Simplify right side
    206,888x = 32,170,752,979.20
  5. Step 5: Solve for x
    x = 32,170,752,979.20/206,888
  6. Step 6: Final answer
    x = 155,498.40

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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.