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Finding the Fourth Proportional to 73,073, 100,840.83 and 39,539

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Solution

The fourth proportional to 73,073, 100,840.83 and 39,539 is: 54,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,073 : 100,840.83 = 39,539 : x
  2. Step 2: Convert to fraction form
    73,073/100,840.83 = 39,539/x
  3. Step 3: Cross multiply
    73,073x = 100,840.83 × 39,539
  4. Step 4: Simplify right side
    73,073x = 3,987,145,577.37
  5. Step 5: Solve for x
    x = 3,987,145,577.37/73,073
  6. Step 6: Final answer
    x = 54,563.87

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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.