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Finding the Fourth Proportional to 205,912.67, 284,143.82 and 115,247.88

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Solution

The fourth proportional to 205,912.67, 284,143.82 and 115,247.88 is: 159,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,912.67 : 284,143.82 = 115,247.88 : x
  2. Step 2: Convert to fraction form
    205,912.67/284,143.82 = 115,247.88/x
  3. Step 3: Cross multiply
    205,912.67x = 284,143.82 × 115,247.88
  4. Step 4: Simplify right side
    205,912.67x = 32,746,972,293.86
  5. Step 5: Solve for x
    x = 32,746,972,293.86/205,912.67
  6. Step 6: Final answer
    x = 159,033.31

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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.