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Finding the Fourth Proportional to 87,538, 131,307.16 and 21,874

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Solution

The fourth proportional to 87,538, 131,307.16 and 21,874 is: 32,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,538 : 131,307.16 = 21,874 : x
  2. Step 2: Convert to fraction form
    87,538/131,307.16 = 21,874/x
  3. Step 3: Cross multiply
    87,538x = 131,307.16 × 21,874
  4. Step 4: Simplify right side
    87,538x = 2,872,212,817.84
  5. Step 5: Solve for x
    x = 2,872,212,817.84/87,538
  6. Step 6: Final answer
    x = 32,811.04

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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.