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Finding the Fourth Proportional to 87,874, 131,783.74 and 31,706.80

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Solution

The fourth proportional to 87,874, 131,783.74 and 31,706.80 is: 47,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,874 : 131,783.74 = 31,706.80 : x
  2. Step 2: Convert to fraction form
    87,874/131,783.74 = 31,706.80/x
  3. Step 3: Cross multiply
    87,874x = 131,783.74 × 31,706.80
  4. Step 4: Simplify right side
    87,874x = 4,178,440,687.43
  5. Step 5: Solve for x
    x = 4,178,440,687.43/87,874
  6. Step 6: Final answer
    x = 47,550.36

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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.