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Finding the Fourth Proportional to 138,940.94, 208,410.78 and 33,760.19

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Solution

The fourth proportional to 138,940.94, 208,410.78 and 33,760.19 is: 50,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.94 : 208,410.78 = 33,760.19 : x
  2. Step 2: Convert to fraction form
    138,940.94/208,410.78 = 33,760.19/x
  3. Step 3: Cross multiply
    138,940.94x = 208,410.78 × 33,760.19
  4. Step 4: Simplify right side
    138,940.94x = 7,035,987,530.85
  5. Step 5: Solve for x
    x = 7,035,987,530.85/138,940.94
  6. Step 6: Final answer
    x = 50,640.13

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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.