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Finding the Fourth Proportional to 199,412, 275,208 and 109,988

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Solution

The fourth proportional to 199,412, 275,208 and 109,988 is: 151,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,412 : 275,208 = 109,988 : x
  2. Step 2: Convert to fraction form
    199,412/275,208 = 109,988/x
  3. Step 3: Cross multiply
    199,412x = 275,208 × 109,988
  4. Step 4: Simplify right side
    199,412x = 30,269,577,504
  5. Step 5: Solve for x
    x = 30,269,577,504/199,412
  6. Step 6: Final answer
    x = 151,794.16

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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.