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Finding the Fourth Proportional to 49,974.62, 74,940.06 and 18,788

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Solution

The fourth proportional to 49,974.62, 74,940.06 and 18,788 is: 28,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,974.62 : 74,940.06 = 18,788 : x
  2. Step 2: Convert to fraction form
    49,974.62/74,940.06 = 18,788/x
  3. Step 3: Cross multiply
    49,974.62x = 74,940.06 × 18,788
  4. Step 4: Simplify right side
    49,974.62x = 1,407,973,847.28
  5. Step 5: Solve for x
    x = 1,407,973,847.28/49,974.62
  6. Step 6: Final answer
    x = 28,173.78

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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.