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Finding the Fourth Proportional to 206,654.79, 285,149.66 and 121,760.31

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Solution

The fourth proportional to 206,654.79, 285,149.66 and 121,760.31 is: 168,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,654.79 : 285,149.66 = 121,760.31 : x
  2. Step 2: Convert to fraction form
    206,654.79/285,149.66 = 121,760.31/x
  3. Step 3: Cross multiply
    206,654.79x = 285,149.66 × 121,760.31
  4. Step 4: Simplify right side
    206,654.79x = 34,719,910,389.19
  5. Step 5: Solve for x
    x = 34,719,910,389.19/206,654.79
  6. Step 6: Final answer
    x = 168,009.22

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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.