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Finding the Fourth Proportional to 206,609.78, 285,097.97 and 115,953.46

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Solution

The fourth proportional to 206,609.78, 285,097.97 and 115,953.46 is: 160,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,609.78 : 285,097.97 = 115,953.46 : x
  2. Step 2: Convert to fraction form
    206,609.78/285,097.97 = 115,953.46/x
  3. Step 3: Cross multiply
    206,609.78x = 285,097.97 × 115,953.46
  4. Step 4: Simplify right side
    206,609.78x = 33,058,096,060.48
  5. Step 5: Solve for x
    x = 33,058,096,060.48/206,609.78
  6. Step 6: Final answer
    x = 160,002.57

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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.