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Finding the Fourth Proportional to 203,289, 280,538.82 and 123,801

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Solution

The fourth proportional to 203,289, 280,538.82 and 123,801 is: 170,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,289 : 280,538.82 = 123,801 : x
  2. Step 2: Convert to fraction form
    203,289/280,538.82 = 123,801/x
  3. Step 3: Cross multiply
    203,289x = 280,538.82 × 123,801
  4. Step 4: Simplify right side
    203,289x = 34,730,986,454.82
  5. Step 5: Solve for x
    x = 34,730,986,454.82/203,289
  6. Step 6: Final answer
    x = 170,845.38

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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.