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Finding the Fourth Proportional to 75,627, 113,365.35 and 36,138

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Solution

The fourth proportional to 75,627, 113,365.35 and 36,138 is: 54,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,627 : 113,365.35 = 36,138 : x
  2. Step 2: Convert to fraction form
    75,627/113,365.35 = 36,138/x
  3. Step 3: Cross multiply
    75,627x = 113,365.35 × 36,138
  4. Step 4: Simplify right side
    75,627x = 4,096,797,018.30
  5. Step 5: Solve for x
    x = 4,096,797,018.30/75,627
  6. Step 6: Final answer
    x = 54,171.09

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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.