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Finding the Fourth Proportional to 71,872.91, 107,830.17 and 29,745.22

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Solution

The fourth proportional to 71,872.91, 107,830.17 and 29,745.22 is: 44,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872.91 : 107,830.17 = 29,745.22 : x
  2. Step 2: Convert to fraction form
    71,872.91/107,830.17 = 29,745.22/x
  3. Step 3: Cross multiply
    71,872.91x = 107,830.17 × 29,745.22
  4. Step 4: Simplify right side
    71,872.91x = 3,207,431,859.71
  5. Step 5: Solve for x
    x = 3,207,431,859.71/71,872.91
  6. Step 6: Final answer
    x = 44,626.44

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1.5x scale

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.