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Finding the Fourth Proportional to 201,993.22, 278,738.10 and 111,344.50

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Solution

The fourth proportional to 201,993.22, 278,738.10 and 111,344.50 is: 153,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,993.22 : 278,738.10 = 111,344.50 : x
  2. Step 2: Convert to fraction form
    201,993.22/278,738.10 = 111,344.50/x
  3. Step 3: Cross multiply
    201,993.22x = 278,738.10 × 111,344.50
  4. Step 4: Simplify right side
    201,993.22x = 31,035,954,375.45
  5. Step 5: Solve for x
    x = 31,035,954,375.45/201,993.22
  6. Step 6: Final answer
    x = 153,648.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.