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Finding the Fourth Proportional to 138,811.69, 208,216.83 and 33,630.67

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Solution

The fourth proportional to 138,811.69, 208,216.83 and 33,630.67 is: 50,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,811.69 : 208,216.83 = 33,630.67 : x
  2. Step 2: Convert to fraction form
    138,811.69/208,216.83 = 33,630.67/x
  3. Step 3: Cross multiply
    138,811.69x = 208,216.83 × 33,630.67
  4. Step 4: Simplify right side
    138,811.69x = 7,002,471,498.18
  5. Step 5: Solve for x
    x = 7,002,471,498.18/138,811.69
  6. Step 6: Final answer
    x = 50,445.83

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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.