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Finding the Fourth Proportional to 89,568, 123,604.32 and 49,824

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Solution

The fourth proportional to 89,568, 123,604.32 and 49,824 is: 68,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,568 : 123,604.32 = 49,824 : x
  2. Step 2: Convert to fraction form
    89,568/123,604.32 = 49,824/x
  3. Step 3: Cross multiply
    89,568x = 123,604.32 × 49,824
  4. Step 4: Simplify right side
    89,568x = 6,158,461,639.68
  5. Step 5: Solve for x
    x = 6,158,461,639.68/89,568
  6. Step 6: Final answer
    x = 68,757.39

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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.