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Finding the Fourth Proportional to 140,640.75, 211,012.97 and 74,078.19

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Solution

The fourth proportional to 140,640.75, 211,012.97 and 74,078.19 is: 111,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,640.75 : 211,012.97 = 74,078.19 : x
  2. Step 2: Convert to fraction form
    140,640.75/211,012.97 = 74,078.19/x
  3. Step 3: Cross multiply
    140,640.75x = 211,012.97 × 74,078.19
  4. Step 4: Simplify right side
    140,640.75x = 15,631,458,513.73
  5. Step 5: Solve for x
    x = 15,631,458,513.73/140,640.75
  6. Step 6: Final answer
    x = 111,144.59

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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.