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Finding the Fourth Proportional to 180,743.40, 270,920.70 and 68,380.20

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Solution

The fourth proportional to 180,743.40, 270,920.70 and 68,380.20 is: 102,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,743.40 : 270,920.70 = 68,380.20 : x
  2. Step 2: Convert to fraction form
    180,743.40/270,920.70 = 68,380.20/x
  3. Step 3: Cross multiply
    180,743.40x = 270,920.70 × 68,380.20
  4. Step 4: Simplify right side
    180,743.40x = 18,525,611,650.14
  5. Step 5: Solve for x
    x = 18,525,611,650.14/180,743.40
  6. Step 6: Final answer
    x = 102,496.75

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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.