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Finding the Fourth Proportional to 87,873, 131,782.24 and 31,705.80

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Solution

The fourth proportional to 87,873, 131,782.24 and 31,705.80 is: 47,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,873 : 131,782.24 = 31,705.80 : x
  2. Step 2: Convert to fraction form
    87,873/131,782.24 = 31,705.80/x
  3. Step 3: Cross multiply
    87,873x = 131,782.24 × 31,705.80
  4. Step 4: Simplify right side
    87,873x = 4,178,261,344.99
  5. Step 5: Solve for x
    x = 4,178,261,344.99/87,873
  6. Step 6: Final answer
    x = 47,548.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.