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Finding the Fourth Proportional to 89,780.49, 123,891.51 and 49,494.60

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Solution

The fourth proportional to 89,780.49, 123,891.51 and 49,494.60 is: 68,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,780.49 : 123,891.51 = 49,494.60 : x
  2. Step 2: Convert to fraction form
    89,780.49/123,891.51 = 49,494.60/x
  3. Step 3: Cross multiply
    89,780.49x = 123,891.51 × 49,494.60
  4. Step 4: Simplify right side
    89,780.49x = 6,131,960,730.85
  5. Step 5: Solve for x
    x = 6,131,960,730.85/89,780.49
  6. Step 6: Final answer
    x = 68,299.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.