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Finding the Fourth Proportional to 206,298.72, 308,922.90 and 135,964.80

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Solution

The fourth proportional to 206,298.72, 308,922.90 and 135,964.80 is: 203,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,298.72 : 308,922.90 = 135,964.80 : x
  2. Step 2: Convert to fraction form
    206,298.72/308,922.90 = 135,964.80/x
  3. Step 3: Cross multiply
    206,298.72x = 308,922.90 × 135,964.80
  4. Step 4: Simplify right side
    206,298.72x = 42,002,640,313.92
  5. Step 5: Solve for x
    x = 42,002,640,313.92/206,298.72
  6. Step 6: Final answer
    x = 203,601.07

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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.