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Finding the Fourth Proportional to 203,644.61, 305,069.57 and 133,310.69

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Solution

The fourth proportional to 203,644.61, 305,069.57 and 133,310.69 is: 199,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,644.61 : 305,069.57 = 133,310.69 : x
  2. Step 2: Convert to fraction form
    203,644.61/305,069.57 = 133,310.69/x
  3. Step 3: Cross multiply
    203,644.61x = 305,069.57 × 133,310.69
  4. Step 4: Simplify right side
    203,644.61x = 40,669,034,874.70
  5. Step 5: Solve for x
    x = 40,669,034,874.70/203,644.61
  6. Step 6: Final answer
    x = 199,705.92

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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.