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Finding the Fourth Proportional to 73,186, 100,997.04 and 39,652

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Solution

The fourth proportional to 73,186, 100,997.04 and 39,652 is: 54,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,186 : 100,997.04 = 39,652 : x
  2. Step 2: Convert to fraction form
    73,186/100,997.04 = 39,652/x
  3. Step 3: Cross multiply
    73,186x = 100,997.04 × 39,652
  4. Step 4: Simplify right side
    73,186x = 4,004,734,630.08
  5. Step 5: Solve for x
    x = 4,004,734,630.08/73,186
  6. Step 6: Final answer
    x = 54,719.96

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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.