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Finding the Fourth Proportional to 203,772.80, 305,261.57 and 133,438.88

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Solution

The fourth proportional to 203,772.80, 305,261.57 and 133,438.88 is: 199,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,772.80 : 305,261.57 = 133,438.88 : x
  2. Step 2: Convert to fraction form
    203,772.80/305,261.57 = 133,438.88/x
  3. Step 3: Cross multiply
    203,772.80x = 305,261.57 × 133,438.88
  4. Step 4: Simplify right side
    203,772.80x = 40,733,760,481.53
  5. Step 5: Solve for x
    x = 40,733,760,481.53/203,772.80
  6. Step 6: Final answer
    x = 199,897.93

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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.