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Finding the Fourth Proportional to 203,859.60, 305,789.40 and 189,097.35

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Solution

The fourth proportional to 203,859.60, 305,789.40 and 189,097.35 is: 283,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,859.60 : 305,789.40 = 189,097.35 : x
  2. Step 2: Convert to fraction form
    203,859.60/305,789.40 = 189,097.35/x
  3. Step 3: Cross multiply
    203,859.60x = 305,789.40 × 189,097.35
  4. Step 4: Simplify right side
    203,859.60x = 57,823,965,198.09
  5. Step 5: Solve for x
    x = 57,823,965,198.09/203,859.60
  6. Step 6: Final answer
    x = 283,646.03

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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.