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Finding the Fourth Proportional to 89,776.65, 123,891.74 and 49,491.10

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Solution

The fourth proportional to 89,776.65, 123,891.74 and 49,491.10 is: 68,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,776.65 : 123,891.74 = 49,491.10 : x
  2. Step 2: Convert to fraction form
    89,776.65/123,891.74 = 49,491.10/x
  3. Step 3: Cross multiply
    89,776.65x = 123,891.74 × 49,491.10
  4. Step 4: Simplify right side
    89,776.65x = 6,131,537,874.06
  5. Step 5: Solve for x
    x = 6,131,537,874.06/89,776.65
  6. Step 6: Final answer
    x = 68,297.69

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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.