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Finding the Fourth Proportional to 205,694.96, 308,044.38 and 142,337.48

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Solution

The fourth proportional to 205,694.96, 308,044.38 and 142,337.48 is: 213,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,694.96 : 308,044.38 = 142,337.48 : x
  2. Step 2: Convert to fraction form
    205,694.96/308,044.38 = 142,337.48/x
  3. Step 3: Cross multiply
    205,694.96x = 308,044.38 × 142,337.48
  4. Step 4: Simplify right side
    205,694.96x = 43,846,260,777.36
  5. Step 5: Solve for x
    x = 43,846,260,777.36/205,694.96
  6. Step 6: Final answer
    x = 213,161.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.