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Finding the Fourth Proportional to 206,489.65, 284,654.10 and 145,953.49

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Solution

The fourth proportional to 206,489.65, 284,654.10 and 145,953.49 is: 201,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,489.65 : 284,654.10 = 145,953.49 : x
  2. Step 2: Convert to fraction form
    206,489.65/284,654.10 = 145,953.49/x
  3. Step 3: Cross multiply
    206,489.65x = 284,654.10 × 145,953.49
  4. Step 4: Simplify right side
    206,489.65x = 41,546,259,337.81
  5. Step 5: Solve for x
    x = 41,546,259,337.81/206,489.65
  6. Step 6: Final answer
    x = 201,202.62

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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.