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Finding the Fourth Proportional to 73,170, 100,974.63 and 39,636

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Solution

The fourth proportional to 73,170, 100,974.63 and 39,636 is: 54,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,170 : 100,974.63 = 39,636 : x
  2. Step 2: Convert to fraction form
    73,170/100,974.63 = 39,636/x
  3. Step 3: Cross multiply
    73,170x = 100,974.63 × 39,636
  4. Step 4: Simplify right side
    73,170x = 4,002,230,434.68
  5. Step 5: Solve for x
    x = 4,002,230,434.68/73,170
  6. Step 6: Final answer
    x = 54,697.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.