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Finding the Fourth Proportional to 87,643.84, 131,472.96 and 25,314.88

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Solution

The fourth proportional to 87,643.84, 131,472.96 and 25,314.88 is: 37,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,643.84 : 131,472.96 = 25,314.88 : x
  2. Step 2: Convert to fraction form
    87,643.84/131,472.96 = 25,314.88/x
  3. Step 3: Cross multiply
    87,643.84x = 131,472.96 × 25,314.88
  4. Step 4: Simplify right side
    87,643.84x = 3,328,222,205.64
  5. Step 5: Solve for x
    x = 3,328,222,205.64/87,643.84
  6. Step 6: Final answer
    x = 37,974.40

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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.