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Finding the Fourth Proportional to 57,709.73, 86,512.34 and 22,639.97

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Solution

The fourth proportional to 57,709.73, 86,512.34 and 22,639.97 is: 33,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.73 : 86,512.34 = 22,639.97 : x
  2. Step 2: Convert to fraction form
    57,709.73/86,512.34 = 22,639.97/x
  3. Step 3: Cross multiply
    57,709.73x = 86,512.34 × 22,639.97
  4. Step 4: Simplify right side
    57,709.73x = 1,958,636,782.23
  5. Step 5: Solve for x
    x = 1,958,636,782.23/57,709.73
  6. Step 6: Final answer
    x = 33,939.45

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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.