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Finding the Fourth Proportional to 87,438, 120,664.44 and 47,694

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Solution

The fourth proportional to 87,438, 120,664.44 and 47,694 is: 65,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,438 : 120,664.44 = 47,694 : x
  2. Step 2: Convert to fraction form
    87,438/120,664.44 = 47,694/x
  3. Step 3: Cross multiply
    87,438x = 120,664.44 × 47,694
  4. Step 4: Simplify right side
    87,438x = 5,754,969,801.36
  5. Step 5: Solve for x
    x = 5,754,969,801.36/87,438
  6. Step 6: Final answer
    x = 65,817.72

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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.