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Finding the Fourth Proportional to 203,288, 280,537.44 and 123,800

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Solution

The fourth proportional to 203,288, 280,537.44 and 123,800 is: 170,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,288 : 280,537.44 = 123,800 : x
  2. Step 2: Convert to fraction form
    203,288/280,537.44 = 123,800/x
  3. Step 3: Cross multiply
    203,288x = 280,537.44 × 123,800
  4. Step 4: Simplify right side
    203,288x = 34,730,535,072
  5. Step 5: Solve for x
    x = 34,730,535,072/203,288
  6. Step 6: Final answer
    x = 170,844

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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.