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Finding the Fourth Proportional to 89,214, 133,872.84 and 39,966

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Solution

The fourth proportional to 89,214, 133,872.84 and 39,966 is: 59,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,214 : 133,872.84 = 39,966 : x
  2. Step 2: Convert to fraction form
    89,214/133,872.84 = 39,966/x
  3. Step 3: Cross multiply
    89,214x = 133,872.84 × 39,966
  4. Step 4: Simplify right side
    89,214x = 5,350,361,923.44
  5. Step 5: Solve for x
    x = 5,350,361,923.44/89,214
  6. Step 6: Final answer
    x = 59,972.22

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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.