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Finding the Fourth Proportional to 57,676, 79,592.88 and 31,180

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Solution

The fourth proportional to 57,676, 79,592.88 and 31,180 is: 43,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,676 : 79,592.88 = 31,180 : x
  2. Step 2: Convert to fraction form
    57,676/79,592.88 = 31,180/x
  3. Step 3: Cross multiply
    57,676x = 79,592.88 × 31,180
  4. Step 4: Simplify right side
    57,676x = 2,481,705,998.40
  5. Step 5: Solve for x
    x = 2,481,705,998.40/57,676
  6. Step 6: Final answer
    x = 43,028.40

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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.