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Finding the Fourth Proportional to 200,768.20, 300,806.70 and 105,857.80

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Solution

The fourth proportional to 200,768.20, 300,806.70 and 105,857.80 is: 158,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.20 : 300,806.70 = 105,857.80 : x
  2. Step 2: Convert to fraction form
    200,768.20/300,806.70 = 105,857.80/x
  3. Step 3: Cross multiply
    200,768.20x = 300,806.70 × 105,857.80
  4. Step 4: Simplify right side
    200,768.20x = 31,842,735,487.26
  5. Step 5: Solve for x
    x = 31,842,735,487.26/200,768.20
  6. Step 6: Final answer
    x = 158,604.48

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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.