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Finding the Fourth Proportional to 104,664.57, 144,469.49 and 77,843.40

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Solution

The fourth proportional to 104,664.57, 144,469.49 and 77,843.40 is: 107,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,664.57 : 144,469.49 = 77,843.40 : x
  2. Step 2: Convert to fraction form
    104,664.57/144,469.49 = 77,843.40/x
  3. Step 3: Cross multiply
    104,664.57x = 144,469.49 × 77,843.40
  4. Step 4: Simplify right side
    104,664.57x = 11,245,996,297.87
  5. Step 5: Solve for x
    x = 11,245,996,297.87/104,664.57
  6. Step 6: Final answer
    x = 107,447.98

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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.