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Finding the Fourth Proportional to 75,812, 113,758.96 and 36,900

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Solution

The fourth proportional to 75,812, 113,758.96 and 36,900 is: 55,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,812 : 113,758.96 = 36,900 : x
  2. Step 2: Convert to fraction form
    75,812/113,758.96 = 36,900/x
  3. Step 3: Cross multiply
    75,812x = 113,758.96 × 36,900
  4. Step 4: Simplify right side
    75,812x = 4,197,705,624
  5. Step 5: Solve for x
    x = 4,197,705,624/75,812
  6. Step 6: Final answer
    x = 55,369.94

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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.