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Finding the Fourth Proportional to 204,876, 307,365.84 and 57,132

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Solution

The fourth proportional to 204,876, 307,365.84 and 57,132 is: 85,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,876 : 307,365.84 = 57,132 : x
  2. Step 2: Convert to fraction form
    204,876/307,365.84 = 57,132/x
  3. Step 3: Cross multiply
    204,876x = 307,365.84 × 57,132
  4. Step 4: Simplify right side
    204,876x = 17,560,425,170.88
  5. Step 5: Solve for x
    x = 17,560,425,170.88/204,876
  6. Step 6: Final answer
    x = 85,712.46

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