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Finding the Fourth Proportional to 204,906.30, 307,359.45 and 137,984.10

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Solution

The fourth proportional to 204,906.30, 307,359.45 and 137,984.10 is: 206,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.30 : 307,359.45 = 137,984.10 : x
  2. Step 2: Convert to fraction form
    204,906.30/307,359.45 = 137,984.10/x
  3. Step 3: Cross multiply
    204,906.30x = 307,359.45 × 137,984.10
  4. Step 4: Simplify right side
    204,906.30x = 42,410,717,084.75
  5. Step 5: Solve for x
    x = 42,410,717,084.75/204,906.30
  6. Step 6: Final answer
    x = 206,976.15

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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.