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Finding the Fourth Proportional to 89,079.68, 133,654.08 and 33,680

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Solution

The fourth proportional to 89,079.68, 133,654.08 and 33,680 is: 50,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,079.68 : 133,654.08 = 33,680 : x
  2. Step 2: Convert to fraction form
    89,079.68/133,654.08 = 33,680/x
  3. Step 3: Cross multiply
    89,079.68x = 133,654.08 × 33,680
  4. Step 4: Simplify right side
    89,079.68x = 4,501,469,414.40
  5. Step 5: Solve for x
    x = 4,501,469,414.40/89,079.68
  6. Step 6: Final answer
    x = 50,533.07

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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.