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Finding the Fourth Proportional to 192,540.10, 288,656.55 and 81,640.90

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Solution

The fourth proportional to 192,540.10, 288,656.55 and 81,640.90 is: 122,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,540.10 : 288,656.55 = 81,640.90 : x
  2. Step 2: Convert to fraction form
    192,540.10/288,656.55 = 81,640.90/x
  3. Step 3: Cross multiply
    192,540.10x = 288,656.55 × 81,640.90
  4. Step 4: Simplify right side
    192,540.10x = 23,566,180,532.90
  5. Step 5: Solve for x
    x = 23,566,180,532.90/192,540.10
  6. Step 6: Final answer
    x = 122,396.22

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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.