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Finding the Fourth Proportional to 89,077.68, 133,651.08 and 33,678

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Solution

The fourth proportional to 89,077.68, 133,651.08 and 33,678 is: 50,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,077.68 : 133,651.08 = 33,678 : x
  2. Step 2: Convert to fraction form
    89,077.68/133,651.08 = 33,678/x
  3. Step 3: Cross multiply
    89,077.68x = 133,651.08 × 33,678
  4. Step 4: Simplify right side
    89,077.68x = 4,501,101,072.24
  5. Step 5: Solve for x
    x = 4,501,101,072.24/89,077.68
  6. Step 6: Final answer
    x = 50,530.07

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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.