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Finding the Fourth Proportional to 180,081.79, 269,934.96 and 67,684.57

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Solution

The fourth proportional to 180,081.79, 269,934.96 and 67,684.57 is: 101,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,081.79 : 269,934.96 = 67,684.57 : x
  2. Step 2: Convert to fraction form
    180,081.79/269,934.96 = 67,684.57/x
  3. Step 3: Cross multiply
    180,081.79x = 269,934.96 × 67,684.57
  4. Step 4: Simplify right side
    180,081.79x = 18,270,431,274.55
  5. Step 5: Solve for x
    x = 18,270,431,274.55/180,081.79
  6. Step 6: Final answer
    x = 101,456.30

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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.