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Finding the Fourth Proportional to 57,757, 79,704.90 and 31,261

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Solution

The fourth proportional to 57,757, 79,704.90 and 31,261 is: 43,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,757 : 79,704.90 = 31,261 : x
  2. Step 2: Convert to fraction form
    57,757/79,704.90 = 31,261/x
  3. Step 3: Cross multiply
    57,757x = 79,704.90 × 31,261
  4. Step 4: Simplify right side
    57,757x = 2,491,654,878.90
  5. Step 5: Solve for x
    x = 2,491,654,878.90/57,757
  6. Step 6: Final answer
    x = 43,140.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.