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Finding the Fourth Proportional to 117,102.43, 161,540.49 and 71,791.03

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Solution

The fourth proportional to 117,102.43, 161,540.49 and 71,791.03 is: 99,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,102.43 : 161,540.49 = 71,791.03 : x
  2. Step 2: Convert to fraction form
    117,102.43/161,540.49 = 71,791.03/x
  3. Step 3: Cross multiply
    117,102.43x = 161,540.49 × 71,791.03
  4. Step 4: Simplify right side
    117,102.43x = 11,597,158,163.80
  5. Step 5: Solve for x
    x = 11,597,158,163.80/117,102.43
  6. Step 6: Final answer
    x = 99,034.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.