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Finding the Fourth Proportional to 75,814, 113,761.96 and 36,902

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Solution

The fourth proportional to 75,814, 113,761.96 and 36,902 is: 55,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,814 : 113,761.96 = 36,902 : x
  2. Step 2: Convert to fraction form
    75,814/113,761.96 = 36,902/x
  3. Step 3: Cross multiply
    75,814x = 113,761.96 × 36,902
  4. Step 4: Simplify right side
    75,814x = 4,198,043,847.92
  5. Step 5: Solve for x
    x = 4,198,043,847.92/75,814
  6. Step 6: Final answer
    x = 55,372.94

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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.