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Finding the Fourth Proportional to 206,391.36, 284,796.24 and 115,747.50

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Solution

The fourth proportional to 206,391.36, 284,796.24 and 115,747.50 is: 159,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,391.36 : 284,796.24 = 115,747.50 : x
  2. Step 2: Convert to fraction form
    206,391.36/284,796.24 = 115,747.50/x
  3. Step 3: Cross multiply
    206,391.36x = 284,796.24 × 115,747.50
  4. Step 4: Simplify right side
    206,391.36x = 32,964,452,789.40
  5. Step 5: Solve for x
    x = 32,964,452,789.40/206,391.36
  6. Step 6: Final answer
    x = 159,718.18

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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.