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Finding the Fourth Proportional to 133,729.58, 200,907.84 and 126,163.78

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Solution

The fourth proportional to 133,729.58, 200,907.84 and 126,163.78 is: 189,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729.58 : 200,907.84 = 126,163.78 : x
  2. Step 2: Convert to fraction form
    133,729.58/200,907.84 = 126,163.78/x
  3. Step 3: Cross multiply
    133,729.58x = 200,907.84 × 126,163.78
  4. Step 4: Simplify right side
    133,729.58x = 25,347,292,496.88
  5. Step 5: Solve for x
    x = 25,347,292,496.88/133,729.58
  6. Step 6: Final answer
    x = 189,541.40

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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.