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Finding the Fourth Proportional to 180,736.40, 270,910.20 and 68,373.20

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Solution

The fourth proportional to 180,736.40, 270,910.20 and 68,373.20 is: 102,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,736.40 : 270,910.20 = 68,373.20 : x
  2. Step 2: Convert to fraction form
    180,736.40/270,910.20 = 68,373.20/x
  3. Step 3: Cross multiply
    180,736.40x = 270,910.20 × 68,373.20
  4. Step 4: Simplify right side
    180,736.40x = 18,522,997,286.64
  5. Step 5: Solve for x
    x = 18,522,997,286.64/180,736.40
  6. Step 6: Final answer
    x = 102,486.26

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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.