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Finding the Fourth Proportional to 206,795.64, 285,305.31 and 135,217.56

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Solution

The fourth proportional to 206,795.64, 285,305.31 and 135,217.56 is: 186,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,795.64 : 285,305.31 = 135,217.56 : x
  2. Step 2: Convert to fraction form
    206,795.64/285,305.31 = 135,217.56/x
  3. Step 3: Cross multiply
    206,795.64x = 285,305.31 × 135,217.56
  4. Step 4: Simplify right side
    206,795.64x = 38,578,287,873.24
  5. Step 5: Solve for x
    x = 38,578,287,873.24/206,795.64
  6. Step 6: Final answer
    x = 186,552.71

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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.