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Finding the Fourth Proportional to 57,715.58, 79,648.75 and 31,874.05

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Solution

The fourth proportional to 57,715.58, 79,648.75 and 31,874.05 is: 43,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.58 : 79,648.75 = 31,874.05 : x
  2. Step 2: Convert to fraction form
    57,715.58/79,648.75 = 31,874.05/x
  3. Step 3: Cross multiply
    57,715.58x = 79,648.75 × 31,874.05
  4. Step 4: Simplify right side
    57,715.58x = 2,538,728,239.94
  5. Step 5: Solve for x
    x = 2,538,728,239.94/57,715.58
  6. Step 6: Final answer
    x = 43,986.88

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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.