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Finding the Fourth Proportional to 57,668, 79,581.84 and 31,172

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Solution

The fourth proportional to 57,668, 79,581.84 and 31,172 is: 43,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,668 : 79,581.84 = 31,172 : x
  2. Step 2: Convert to fraction form
    57,668/79,581.84 = 31,172/x
  3. Step 3: Cross multiply
    57,668x = 79,581.84 × 31,172
  4. Step 4: Simplify right side
    57,668x = 2,480,725,116.48
  5. Step 5: Solve for x
    x = 2,480,725,116.48/57,668
  6. Step 6: Final answer
    x = 43,017.36

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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.