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Finding the Fourth Proportional to 138,634.03, 207,951.10 and 33,453

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Solution

The fourth proportional to 138,634.03, 207,951.10 and 33,453 is: 50,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,634.03 : 207,951.10 = 33,453 : x
  2. Step 2: Convert to fraction form
    138,634.03/207,951.10 = 33,453/x
  3. Step 3: Cross multiply
    138,634.03x = 207,951.10 × 33,453
  4. Step 4: Simplify right side
    138,634.03x = 6,956,588,064.67
  5. Step 5: Solve for x
    x = 6,956,588,064.67/138,634.03
  6. Step 6: Final answer
    x = 50,179.51

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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.