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Finding the Fourth Proportional to 199,420, 275,199.60 and 109,996

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Solution

The fourth proportional to 199,420, 275,199.60 and 109,996 is: 151,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,420 : 275,199.60 = 109,996 : x
  2. Step 2: Convert to fraction form
    199,420/275,199.60 = 109,996/x
  3. Step 3: Cross multiply
    199,420x = 275,199.60 × 109,996
  4. Step 4: Simplify right side
    199,420x = 30,270,855,201.60
  5. Step 5: Solve for x
    x = 30,270,855,201.60/199,420
  6. Step 6: Final answer
    x = 151,794.48

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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.