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Finding the Fourth Proportional to 71,105.34, 106,664.39 and 18,515.28

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Solution

The fourth proportional to 71,105.34, 106,664.39 and 18,515.28 is: 27,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,105.34 : 106,664.39 = 18,515.28 : x
  2. Step 2: Convert to fraction form
    71,105.34/106,664.39 = 18,515.28/x
  3. Step 3: Cross multiply
    71,105.34x = 106,664.39 × 18,515.28
  4. Step 4: Simplify right side
    71,105.34x = 1,974,921,046.88
  5. Step 5: Solve for x
    x = 1,974,921,046.88/71,105.34
  6. Step 6: Final answer
    x = 27,774.58

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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.