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Finding the Fourth Proportional to 106,115.82, 146,356.82 and 65,806.80

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Solution

The fourth proportional to 106,115.82, 146,356.82 and 65,806.80 is: 90,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,115.82 : 146,356.82 = 65,806.80 : x
  2. Step 2: Convert to fraction form
    106,115.82/146,356.82 = 65,806.80/x
  3. Step 3: Cross multiply
    106,115.82x = 146,356.82 × 65,806.80
  4. Step 4: Simplify right side
    106,115.82x = 9,631,273,982.38
  5. Step 5: Solve for x
    x = 9,631,273,982.38/106,115.82
  6. Step 6: Final answer
    x = 90,761.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.