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Finding the Fourth Proportional to 73,381, 101,267.04 and 39,847

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Solution

The fourth proportional to 73,381, 101,267.04 and 39,847 is: 54,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,381 : 101,267.04 = 39,847 : x
  2. Step 2: Convert to fraction form
    73,381/101,267.04 = 39,847/x
  3. Step 3: Cross multiply
    73,381x = 101,267.04 × 39,847
  4. Step 4: Simplify right side
    73,381x = 4,035,187,742.88
  5. Step 5: Solve for x
    x = 4,035,187,742.88/73,381
  6. Step 6: Final answer
    x = 54,989.54

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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.