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Finding the Fourth Proportional to 203,189.97, 280,412.19 and 122,616.12

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Solution

The fourth proportional to 203,189.97, 280,412.19 and 122,616.12 is: 169,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,189.97 : 280,412.19 = 122,616.12 : x
  2. Step 2: Convert to fraction form
    203,189.97/280,412.19 = 122,616.12/x
  3. Step 3: Cross multiply
    203,189.97x = 280,412.19 × 122,616.12
  4. Step 4: Simplify right side
    203,189.97x = 34,383,054,738.50
  5. Step 5: Solve for x
    x = 34,383,054,738.50/203,189.97
  6. Step 6: Final answer
    x = 169,216.30

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1.5x scale

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.