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Finding the Fourth Proportional to 203,776.82, 305,267.57 and 133,442.90

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Solution

The fourth proportional to 203,776.82, 305,267.57 and 133,442.90 is: 199,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,776.82 : 305,267.57 = 133,442.90 : x
  2. Step 2: Convert to fraction form
    203,776.82/305,267.57 = 133,442.90/x
  3. Step 3: Cross multiply
    203,776.82x = 305,267.57 × 133,442.90
  4. Step 4: Simplify right side
    203,776.82x = 40,735,789,816.75
  5. Step 5: Solve for x
    x = 40,735,789,816.75/203,776.82
  6. Step 6: Final answer
    x = 199,903.94

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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.