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Finding the Fourth Proportional to 57,651.70, 86,321.22 and 29,891.38

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Solution

The fourth proportional to 57,651.70, 86,321.22 and 29,891.38 is: 44,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,651.70 : 86,321.22 = 29,891.38 : x
  2. Step 2: Convert to fraction form
    57,651.70/86,321.22 = 29,891.38/x
  3. Step 3: Cross multiply
    57,651.70x = 86,321.22 × 29,891.38
  4. Step 4: Simplify right side
    57,651.70x = 2,580,260,389.08
  5. Step 5: Solve for x
    x = 2,580,260,389.08/57,651.70
  6. Step 6: Final answer
    x = 44,756.02

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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.