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Finding the Fourth Proportional to 200,789.58, 301,203.27 and 143,327.64

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Solution

The fourth proportional to 200,789.58, 301,203.27 and 143,327.64 is: 215,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,789.58 : 301,203.27 = 143,327.64 : x
  2. Step 2: Convert to fraction form
    200,789.58/301,203.27 = 143,327.64/x
  3. Step 3: Cross multiply
    200,789.58x = 301,203.27 × 143,327.64
  4. Step 4: Simplify right side
    200,789.58x = 43,170,753,849.38
  5. Step 5: Solve for x
    x = 43,170,753,849.38/200,789.58
  6. Step 6: Final answer
    x = 215,004.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.