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Finding the Fourth Proportional to 138,710.75, 208,016.87 and 49,940.42

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Solution

The fourth proportional to 138,710.75, 208,016.87 and 49,940.42 is: 74,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,710.75 : 208,016.87 = 49,940.42 : x
  2. Step 2: Convert to fraction form
    138,710.75/208,016.87 = 49,940.42/x
  3. Step 3: Cross multiply
    138,710.75x = 208,016.87 × 49,940.42
  4. Step 4: Simplify right side
    138,710.75x = 10,388,448,565.10
  5. Step 5: Solve for x
    x = 10,388,448,565.10/138,710.75
  6. Step 6: Final answer
    x = 74,892.89

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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.