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Finding the Fourth Proportional to 89,438, 123,424.44 and 49,694

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Solution

The fourth proportional to 89,438, 123,424.44 and 49,694 is: 68,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,438 : 123,424.44 = 49,694 : x
  2. Step 2: Convert to fraction form
    89,438/123,424.44 = 49,694/x
  3. Step 3: Cross multiply
    89,438x = 123,424.44 × 49,694
  4. Step 4: Simplify right side
    89,438x = 6,133,454,121.36
  5. Step 5: Solve for x
    x = 6,133,454,121.36/89,438
  6. Step 6: Final answer
    x = 68,577.72

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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.