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Finding the Fourth Proportional to 89,119.68, 133,705.92 and 33,720

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Solution

The fourth proportional to 89,119.68, 133,705.92 and 33,720 is: 50,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,119.68 : 133,705.92 = 33,720 : x
  2. Step 2: Convert to fraction form
    89,119.68/133,705.92 = 33,720/x
  3. Step 3: Cross multiply
    89,119.68x = 133,705.92 × 33,720
  4. Step 4: Simplify right side
    89,119.68x = 4,508,563,622.40
  5. Step 5: Solve for x
    x = 4,508,563,622.40/89,119.68
  6. Step 6: Final answer
    x = 50,589.99

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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.