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Finding the Fourth Proportional to 204,383.60, 306,612 and 71,224.64

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Solution

The fourth proportional to 204,383.60, 306,612 and 71,224.64 is: 106,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,383.60 : 306,612 = 71,224.64 : x
  2. Step 2: Convert to fraction form
    204,383.60/306,612 = 71,224.64/x
  3. Step 3: Cross multiply
    204,383.60x = 306,612 × 71,224.64
  4. Step 4: Simplify right side
    204,383.60x = 21,838,329,319.68
  5. Step 5: Solve for x
    x = 21,838,329,319.68/204,383.60
  6. Step 6: Final answer
    x = 106,849.71

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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.