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Finding the Fourth Proportional to 138,831.77, 208,245.81 and 33,651.65

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Solution

The fourth proportional to 138,831.77, 208,245.81 and 33,651.65 is: 50,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,831.77 : 208,245.81 = 33,651.65 : x
  2. Step 2: Convert to fraction form
    138,831.77/208,245.81 = 33,651.65/x
  3. Step 3: Cross multiply
    138,831.77x = 208,245.81 × 33,651.65
  4. Step 4: Simplify right side
    138,831.77x = 7,007,815,112.09
  5. Step 5: Solve for x
    x = 7,007,815,112.09/138,831.77
  6. Step 6: Final answer
    x = 50,477.03

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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.