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Finding the Fourth Proportional to 75,815, 113,763.46 and 36,903

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Solution

The fourth proportional to 75,815, 113,763.46 and 36,903 is: 55,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,815 : 113,763.46 = 36,903 : x
  2. Step 2: Convert to fraction form
    75,815/113,763.46 = 36,903/x
  3. Step 3: Cross multiply
    75,815x = 113,763.46 × 36,903
  4. Step 4: Simplify right side
    75,815x = 4,198,212,964.38
  5. Step 5: Solve for x
    x = 4,198,212,964.38/75,815
  6. Step 6: Final answer
    x = 55,374.44

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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.