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Finding the Fourth Proportional to 138,803.74, 208,205.07 and 33,622.54

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Solution

The fourth proportional to 138,803.74, 208,205.07 and 33,622.54 is: 50,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,803.74 : 208,205.07 = 33,622.54 : x
  2. Step 2: Convert to fraction form
    138,803.74/208,205.07 = 33,622.54/x
  3. Step 3: Cross multiply
    138,803.74x = 208,205.07 × 33,622.54
  4. Step 4: Simplify right side
    138,803.74x = 7,000,383,294.28
  5. Step 5: Solve for x
    x = 7,000,383,294.28/138,803.74
  6. Step 6: Final answer
    x = 50,433.68

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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.