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Finding the Fourth Proportional to 205,874.92, 284,107.27 and 115,230.85

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Solution

The fourth proportional to 205,874.92, 284,107.27 and 115,230.85 is: 159,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,874.92 : 284,107.27 = 115,230.85 : x
  2. Step 2: Convert to fraction form
    205,874.92/284,107.27 = 115,230.85/x
  3. Step 3: Cross multiply
    205,874.92x = 284,107.27 × 115,230.85
  4. Step 4: Simplify right side
    205,874.92x = 32,737,923,353.18
  5. Step 5: Solve for x
    x = 32,737,923,353.18/205,874.92
  6. Step 6: Final answer
    x = 159,018.51

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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.