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Finding the Fourth Proportional to 203,960.82, 305,681.60 and 115,263.78

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Solution

The fourth proportional to 203,960.82, 305,681.60 and 115,263.78 is: 172,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,960.82 : 305,681.60 = 115,263.78 : x
  2. Step 2: Convert to fraction form
    203,960.82/305,681.60 = 115,263.78/x
  3. Step 3: Cross multiply
    203,960.82x = 305,681.60 × 115,263.78
  4. Step 4: Simplify right side
    203,960.82x = 35,234,016,692.45
  5. Step 5: Solve for x
    x = 35,234,016,692.45/203,960.82
  6. Step 6: Final answer
    x = 172,748.95

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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.