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Finding the Fourth Proportional to 138,722.98, 208,033.44 and 49,952.65

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Solution

The fourth proportional to 138,722.98, 208,033.44 and 49,952.65 is: 74,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722.98 : 208,033.44 = 49,952.65 : x
  2. Step 2: Convert to fraction form
    138,722.98/208,033.44 = 49,952.65/x
  3. Step 3: Cross multiply
    138,722.98x = 208,033.44 × 49,952.65
  4. Step 4: Simplify right side
    138,722.98x = 10,391,821,616.62
  5. Step 5: Solve for x
    x = 10,391,821,616.62/138,722.98
  6. Step 6: Final answer
    x = 74,910.60

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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.