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Finding the Fourth Proportional to 123,727.14, 170,743.44 and 67,138.50

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Solution

The fourth proportional to 123,727.14, 170,743.44 and 67,138.50 is: 92,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,727.14 : 170,743.44 = 67,138.50 : x
  2. Step 2: Convert to fraction form
    123,727.14/170,743.44 = 67,138.50/x
  3. Step 3: Cross multiply
    123,727.14x = 170,743.44 × 67,138.50
  4. Step 4: Simplify right side
    123,727.14x = 11,463,458,446.44
  5. Step 5: Solve for x
    x = 11,463,458,446.44/123,727.14
  6. Step 6: Final answer
    x = 92,651.12

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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.