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Finding the Fourth Proportional to 206,138.92, 285,044.34 and 163,623.64

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Solution

The fourth proportional to 206,138.92, 285,044.34 and 163,623.64 is: 226,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,138.92 : 285,044.34 = 163,623.64 : x
  2. Step 2: Convert to fraction form
    206,138.92/285,044.34 = 163,623.64/x
  3. Step 3: Cross multiply
    206,138.92x = 285,044.34 × 163,623.64
  4. Step 4: Simplify right side
    206,138.92x = 46,639,992,472.20
  5. Step 5: Solve for x
    x = 46,639,992,472.20/206,138.92
  6. Step 6: Final answer
    x = 226,255.15

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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.