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Finding the Fourth Proportional to 203,443.20, 280,723.20 and 117,427.20

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Solution

The fourth proportional to 203,443.20, 280,723.20 and 117,427.20 is: 162,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,443.20 : 280,723.20 = 117,427.20 : x
  2. Step 2: Convert to fraction form
    203,443.20/280,723.20 = 117,427.20/x
  3. Step 3: Cross multiply
    203,443.20x = 280,723.20 × 117,427.20
  4. Step 4: Simplify right side
    203,443.20x = 32,964,539,351.04
  5. Step 5: Solve for x
    x = 32,964,539,351.04/203,443.20
  6. Step 6: Final answer
    x = 162,033.13

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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.