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Finding the Fourth Proportional to 181,190.69, 271,791.71 and 86,431.16

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Solution

The fourth proportional to 181,190.69, 271,791.71 and 86,431.16 is: 129,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,190.69 : 271,791.71 = 86,431.16 : x
  2. Step 2: Convert to fraction form
    181,190.69/271,791.71 = 86,431.16/x
  3. Step 3: Cross multiply
    181,190.69x = 271,791.71 × 86,431.16
  4. Step 4: Simplify right side
    181,190.69x = 23,491,270,982.57
  5. Step 5: Solve for x
    x = 23,491,270,982.57/181,190.69
  6. Step 6: Final answer
    x = 129,649.44

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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.