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Finding the Fourth Proportional to 109,537.38, 151,163.31 and 61,791.66

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Solution

The fourth proportional to 109,537.38, 151,163.31 and 61,791.66 is: 85,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,537.38 : 151,163.31 = 61,791.66 : x
  2. Step 2: Convert to fraction form
    109,537.38/151,163.31 = 61,791.66/x
  3. Step 3: Cross multiply
    109,537.38x = 151,163.31 × 61,791.66
  4. Step 4: Simplify right side
    109,537.38x = 9,340,631,855.99
  5. Step 5: Solve for x
    x = 9,340,631,855.99/109,537.38
  6. Step 6: Final answer
    x = 85,273.46

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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.