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Finding the Fourth Proportional to 123,891, 185,836.50 and 40,791.48

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Solution

The fourth proportional to 123,891, 185,836.50 and 40,791.48 is: 61,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,891 : 185,836.50 = 40,791.48 : x
  2. Step 2: Convert to fraction form
    123,891/185,836.50 = 40,791.48/x
  3. Step 3: Cross multiply
    123,891x = 185,836.50 × 40,791.48
  4. Step 4: Simplify right side
    123,891x = 7,580,545,873.02
  5. Step 5: Solve for x
    x = 7,580,545,873.02/123,891
  6. Step 6: Final answer
    x = 61,187.22

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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.