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Finding the Fourth Proportional to 203,797.83, 305,696.45 and 133,660.71

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Solution

The fourth proportional to 203,797.83, 305,696.45 and 133,660.71 is: 200,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,797.83 : 305,696.45 = 133,660.71 : x
  2. Step 2: Convert to fraction form
    203,797.83/305,696.45 = 133,660.71/x
  3. Step 3: Cross multiply
    203,797.83x = 305,696.45 × 133,660.71
  4. Step 4: Simplify right side
    203,797.83x = 40,859,603,883.18
  5. Step 5: Solve for x
    x = 40,859,603,883.18/203,797.83
  6. Step 6: Final answer
    x = 200,490.87

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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.