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Finding the Fourth Proportional to 206,894.24, 285,546.48 and 122,020.64

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Solution

The fourth proportional to 206,894.24, 285,546.48 and 122,020.64 is: 168,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,894.24 : 285,546.48 = 122,020.64 : x
  2. Step 2: Convert to fraction form
    206,894.24/285,546.48 = 122,020.64/x
  3. Step 3: Cross multiply
    206,894.24x = 285,546.48 × 122,020.64
  4. Step 4: Simplify right side
    206,894.24x = 34,842,564,239.35
  5. Step 5: Solve for x
    x = 34,842,564,239.35/206,894.24
  6. Step 6: Final answer
    x = 168,407.61

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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.