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Finding the Fourth Proportional to 203,620.80, 306,087.30 and 144,863.40

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Solution

The fourth proportional to 203,620.80, 306,087.30 and 144,863.40 is: 217,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,620.80 : 306,087.30 = 144,863.40 : x
  2. Step 2: Convert to fraction form
    203,620.80/306,087.30 = 144,863.40/x
  3. Step 3: Cross multiply
    203,620.80x = 306,087.30 × 144,863.40
  4. Step 4: Simplify right side
    203,620.80x = 44,340,846,974.82
  5. Step 5: Solve for x
    x = 44,340,846,974.82/203,620.80
  6. Step 6: Final answer
    x = 217,761.87

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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.