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Finding the Fourth Proportional to 203,661.78, 305,131.23 and 85,072.14

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Solution

The fourth proportional to 203,661.78, 305,131.23 and 85,072.14 is: 127,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,661.78 : 305,131.23 = 85,072.14 : x
  2. Step 2: Convert to fraction form
    203,661.78/305,131.23 = 85,072.14/x
  3. Step 3: Cross multiply
    203,661.78x = 305,131.23 × 85,072.14
  4. Step 4: Simplify right side
    203,661.78x = 25,958,166,716.93
  5. Step 5: Solve for x
    x = 25,958,166,716.93/203,661.78
  6. Step 6: Final answer
    x = 127,457.23

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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.