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Finding the Fourth Proportional to 89,149, 133,729.98 and 33,745

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Solution

The fourth proportional to 89,149, 133,729.98 and 33,745 is: 50,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,149 : 133,729.98 = 33,745 : x
  2. Step 2: Convert to fraction form
    89,149/133,729.98 = 33,745/x
  3. Step 3: Cross multiply
    89,149x = 133,729.98 × 33,745
  4. Step 4: Simplify right side
    89,149x = 4,512,718,175.10
  5. Step 5: Solve for x
    x = 4,512,718,175.10/89,149
  6. Step 6: Final answer
    x = 50,619.95

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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.