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Finding the Fourth Proportional to 204,806.20, 307,209.30 and 133,947.40

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Solution

The fourth proportional to 204,806.20, 307,209.30 and 133,947.40 is: 200,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,806.20 : 307,209.30 = 133,947.40 : x
  2. Step 2: Convert to fraction form
    204,806.20/307,209.30 = 133,947.40/x
  3. Step 3: Cross multiply
    204,806.20x = 307,209.30 × 133,947.40
  4. Step 4: Simplify right side
    204,806.20x = 41,149,886,990.82
  5. Step 5: Solve for x
    x = 41,149,886,990.82/204,806.20
  6. Step 6: Final answer
    x = 200,921.10

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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.