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Finding the Fourth Proportional to 71,863.20, 107,748.09 and 34,422.30

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Solution

The fourth proportional to 71,863.20, 107,748.09 and 34,422.30 is: 51,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,863.20 : 107,748.09 = 34,422.30 : x
  2. Step 2: Convert to fraction form
    71,863.20/107,748.09 = 34,422.30/x
  3. Step 3: Cross multiply
    71,863.20x = 107,748.09 × 34,422.30
  4. Step 4: Simplify right side
    71,863.20x = 3,708,937,078.41
  5. Step 5: Solve for x
    x = 3,708,937,078.41/71,863.20
  6. Step 6: Final answer
    x = 51,611.08

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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.