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Finding the Fourth Proportional to 57,531, 86,198.22 and 40,808.28

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Solution

The fourth proportional to 57,531, 86,198.22 and 40,808.28 is: 61,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,531 : 86,198.22 = 40,808.28 : x
  2. Step 2: Convert to fraction form
    57,531/86,198.22 = 40,808.28/x
  3. Step 3: Cross multiply
    57,531x = 86,198.22 × 40,808.28
  4. Step 4: Simplify right side
    57,531x = 3,517,601,097.26
  5. Step 5: Solve for x
    x = 3,517,601,097.26/57,531
  6. Step 6: Final answer
    x = 61,142.71

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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.