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Finding the Fourth Proportional to 206,281, 284,667.78 and 116,857

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Solution

The fourth proportional to 206,281, 284,667.78 and 116,857 is: 161,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,281 : 284,667.78 = 116,857 : x
  2. Step 2: Convert to fraction form
    206,281/284,667.78 = 116,857/x
  3. Step 3: Cross multiply
    206,281x = 284,667.78 × 116,857
  4. Step 4: Simplify right side
    206,281x = 33,265,422,767.46
  5. Step 5: Solve for x
    x = 33,265,422,767.46/206,281
  6. Step 6: Final answer
    x = 161,262.66

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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.