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Finding the Fourth Proportional to 57,947.84, 86,960.64 and 20,508

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Solution

The fourth proportional to 57,947.84, 86,960.64 and 20,508 is: 30,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,947.84 : 86,960.64 = 20,508 : x
  2. Step 2: Convert to fraction form
    57,947.84/86,960.64 = 20,508/x
  3. Step 3: Cross multiply
    57,947.84x = 86,960.64 × 20,508
  4. Step 4: Simplify right side
    57,947.84x = 1,783,388,805.12
  5. Step 5: Solve for x
    x = 1,783,388,805.12/57,947.84
  6. Step 6: Final answer
    x = 30,775.76

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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.