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Finding the Fourth Proportional to 204,026.80, 305,728.36 and 137,219.64

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Solution

The fourth proportional to 204,026.80, 305,728.36 and 137,219.64 is: 205,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,026.80 : 305,728.36 = 137,219.64 : x
  2. Step 2: Convert to fraction form
    204,026.80/305,728.36 = 137,219.64/x
  3. Step 3: Cross multiply
    204,026.80x = 305,728.36 × 137,219.64
  4. Step 4: Simplify right side
    204,026.80x = 41,951,935,496.99
  5. Step 5: Solve for x
    x = 41,951,935,496.99/204,026.80
  6. Step 6: Final answer
    x = 205,619.73

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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.