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Finding the Fourth Proportional to 57,511.28, 86,266.92 and 32,870

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Solution

The fourth proportional to 57,511.28, 86,266.92 and 32,870 is: 49,305

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,511.28 : 86,266.92 = 32,870 : x
  2. Step 2: Convert to fraction form
    57,511.28/86,266.92 = 32,870/x
  3. Step 3: Cross multiply
    57,511.28x = 86,266.92 × 32,870
  4. Step 4: Simplify right side
    57,511.28x = 2,835,593,660.40
  5. Step 5: Solve for x
    x = 2,835,593,660.40/57,511.28
  6. Step 6: Final answer
    x = 49,305

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.