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Finding the Fourth Proportional to 57,736, 79,675.84 and 31,240

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Solution

The fourth proportional to 57,736, 79,675.84 and 31,240 is: 43,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,736 : 79,675.84 = 31,240 : x
  2. Step 2: Convert to fraction form
    57,736/79,675.84 = 31,240/x
  3. Step 3: Cross multiply
    57,736x = 79,675.84 × 31,240
  4. Step 4: Simplify right side
    57,736x = 2,489,073,241.60
  5. Step 5: Solve for x
    x = 2,489,073,241.60/57,736
  6. Step 6: Final answer
    x = 43,111.29

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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.