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Finding the Fourth Proportional to 123,760, 170,791.86 and 67,171.24

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Solution

The fourth proportional to 123,760, 170,791.86 and 67,171.24 is: 92,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,760 : 170,791.86 = 67,171.24 : x
  2. Step 2: Convert to fraction form
    123,760/170,791.86 = 67,171.24/x
  3. Step 3: Cross multiply
    123,760x = 170,791.86 × 67,171.24
  4. Step 4: Simplify right side
    123,760x = 11,472,301,018.11
  5. Step 5: Solve for x
    x = 11,472,301,018.11/123,760
  6. Step 6: Final answer
    x = 92,697.97

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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.