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Finding the Fourth Proportional to 57,713, 79,644.10 and 31,217

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Solution

The fourth proportional to 57,713, 79,644.10 and 31,217 is: 43,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,713 : 79,644.10 = 31,217 : x
  2. Step 2: Convert to fraction form
    57,713/79,644.10 = 31,217/x
  3. Step 3: Cross multiply
    57,713x = 79,644.10 × 31,217
  4. Step 4: Simplify right side
    57,713x = 2,486,249,869.70
  5. Step 5: Solve for x
    x = 2,486,249,869.70/57,713
  6. Step 6: Final answer
    x = 43,079.55

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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.