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Finding the Fourth Proportional to 71,105.78, 106,664.79 and 18,515.36

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Solution

The fourth proportional to 71,105.78, 106,664.79 and 18,515.36 is: 27,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,105.78 : 106,664.79 = 18,515.36 : x
  2. Step 2: Convert to fraction form
    71,105.78/106,664.79 = 18,515.36/x
  3. Step 3: Cross multiply
    71,105.78x = 106,664.79 × 18,515.36
  4. Step 4: Simplify right side
    71,105.78x = 1,974,936,986.17
  5. Step 5: Solve for x
    x = 1,974,936,986.17/71,105.78
  6. Step 6: Final answer
    x = 27,774.63

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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.