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Finding the Fourth Proportional to 57,777, 79,732.26 and 31,281

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Solution

The fourth proportional to 57,777, 79,732.26 and 31,281 is: 43,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,777 : 79,732.26 = 31,281 : x
  2. Step 2: Convert to fraction form
    57,777/79,732.26 = 31,281/x
  3. Step 3: Cross multiply
    57,777x = 79,732.26 × 31,281
  4. Step 4: Simplify right side
    57,777x = 2,494,104,825.06
  5. Step 5: Solve for x
    x = 2,494,104,825.06/57,777
  6. Step 6: Final answer
    x = 43,167.78

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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.