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Finding the Fourth Proportional to 193,907.78, 290,704.49 and 87,213.62

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Solution

The fourth proportional to 193,907.78, 290,704.49 and 87,213.62 is: 130,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,907.78 : 290,704.49 = 87,213.62 : x
  2. Step 2: Convert to fraction form
    193,907.78/290,704.49 = 87,213.62/x
  3. Step 3: Cross multiply
    193,907.78x = 290,704.49 × 87,213.62
  4. Step 4: Simplify right side
    193,907.78x = 25,353,389,033.56
  5. Step 5: Solve for x
    x = 25,353,389,033.56/193,907.78
  6. Step 6: Final answer
    x = 130,749.73

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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.