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Finding the Fourth Proportional to 87,661, 120,972.18 and 47,917

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Solution

The fourth proportional to 87,661, 120,972.18 and 47,917 is: 66,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,661 : 120,972.18 = 47,917 : x
  2. Step 2: Convert to fraction form
    87,661/120,972.18 = 47,917/x
  3. Step 3: Cross multiply
    87,661x = 120,972.18 × 47,917
  4. Step 4: Simplify right side
    87,661x = 5,796,623,949.06
  5. Step 5: Solve for x
    x = 5,796,623,949.06/87,661
  6. Step 6: Final answer
    x = 66,125.46

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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.