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Finding the Fourth Proportional to 133,768.75, 200,684.01 and 45,020.09

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Solution

The fourth proportional to 133,768.75, 200,684.01 and 45,020.09 is: 67,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,768.75 : 200,684.01 = 45,020.09 : x
  2. Step 2: Convert to fraction form
    133,768.75/200,684.01 = 45,020.09/x
  3. Step 3: Cross multiply
    133,768.75x = 200,684.01 × 45,020.09
  4. Step 4: Simplify right side
    133,768.75x = 9,034,811,733.45
  5. Step 5: Solve for x
    x = 9,034,811,733.45/133,768.75
  6. Step 6: Final answer
    x = 67,540.53

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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.