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Finding the Fourth Proportional to 205,992, 284,236.08 and 115,351.92

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Solution

The fourth proportional to 205,992, 284,236.08 and 115,351.92 is: 159,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992 : 284,236.08 = 115,351.92 : x
  2. Step 2: Convert to fraction form
    205,992/284,236.08 = 115,351.92/x
  3. Step 3: Cross multiply
    205,992x = 284,236.08 × 115,351.92
  4. Step 4: Simplify right side
    205,992x = 32,787,177,561.27
  5. Step 5: Solve for x
    x = 32,787,177,561.27/205,992
  6. Step 6: Final answer
    x = 159,167.24

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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.