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Finding the Fourth Proportional to 203,384, 280,670 and 123,896

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Solution

The fourth proportional to 203,384, 280,670 and 123,896 is: 170,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,384 : 280,670 = 123,896 : x
  2. Step 2: Convert to fraction form
    203,384/280,670 = 123,896/x
  3. Step 3: Cross multiply
    203,384x = 280,670 × 123,896
  4. Step 4: Simplify right side
    203,384x = 34,773,890,320
  5. Step 5: Solve for x
    x = 34,773,890,320/203,384
  6. Step 6: Final answer
    x = 170,976.53

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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.