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Finding the Fourth Proportional to 27,110.20, 40,622.10 and 20,111.80

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Solution

The fourth proportional to 27,110.20, 40,622.10 and 20,111.80 is: 30,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.20 : 40,622.10 = 20,111.80 : x
  2. Step 2: Convert to fraction form
    27,110.20/40,622.10 = 20,111.80/x
  3. Step 3: Cross multiply
    27,110.20x = 40,622.10 × 20,111.80
  4. Step 4: Simplify right side
    27,110.20x = 816,983,550.78
  5. Step 5: Solve for x
    x = 816,983,550.78/27,110.20
  6. Step 6: Final answer
    x = 30,135.65

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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.