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Finding the Fourth Proportional to 203,400.20, 305,013.90 and 98,251.40

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Solution

The fourth proportional to 203,400.20, 305,013.90 and 98,251.40 is: 147,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400.20 : 305,013.90 = 98,251.40 : x
  2. Step 2: Convert to fraction form
    203,400.20/305,013.90 = 98,251.40/x
  3. Step 3: Cross multiply
    203,400.20x = 305,013.90 × 98,251.40
  4. Step 4: Simplify right side
    203,400.20x = 29,968,042,694.46
  5. Step 5: Solve for x
    x = 29,968,042,694.46/203,400.20
  6. Step 6: Final answer
    x = 147,335.36

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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.