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Finding the Fourth Proportional to 206,391.72, 284,823.78 and 115,767.80

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Solution

The fourth proportional to 206,391.72, 284,823.78 and 115,767.80 is: 159,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,391.72 : 284,823.78 = 115,767.80 : x
  2. Step 2: Convert to fraction form
    206,391.72/284,823.78 = 115,767.80/x
  3. Step 3: Cross multiply
    206,391.72x = 284,823.78 × 115,767.80
  4. Step 4: Simplify right side
    206,391.72x = 32,973,422,398.28
  5. Step 5: Solve for x
    x = 32,973,422,398.28/206,391.72
  6. Step 6: Final answer
    x = 159,761.36

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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.