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Finding the Fourth Proportional to 201,788.04, 278,469.38 and 111,144.34

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Solution

The fourth proportional to 201,788.04, 278,469.38 and 111,144.34 is: 153,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,788.04 : 278,469.38 = 111,144.34 : x
  2. Step 2: Convert to fraction form
    201,788.04/278,469.38 = 111,144.34/x
  3. Step 3: Cross multiply
    201,788.04x = 278,469.38 × 111,144.34
  4. Step 4: Simplify right side
    201,788.04x = 30,950,295,450.31
  5. Step 5: Solve for x
    x = 30,950,295,450.31/201,788.04
  6. Step 6: Final answer
    x = 153,380.23

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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.