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Finding the Fourth Proportional to 206,570.48, 285,039.84 and 115,922.96

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Solution

The fourth proportional to 206,570.48, 285,039.84 and 115,922.96 is: 159,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,570.48 : 285,039.84 = 115,922.96 : x
  2. Step 2: Convert to fraction form
    206,570.48/285,039.84 = 115,922.96/x
  3. Step 3: Cross multiply
    206,570.48x = 285,039.84 × 115,922.96
  4. Step 4: Simplify right side
    206,570.48x = 33,042,661,970.73
  5. Step 5: Solve for x
    x = 33,042,661,970.73/206,570.48
  6. Step 6: Final answer
    x = 159,958.30

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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.