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Finding the Fourth Proportional to 68,640.86, 102,963.09 and 23,661.74

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Solution

The fourth proportional to 68,640.86, 102,963.09 and 23,661.74 is: 35,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,640.86 : 102,963.09 = 23,661.74 : x
  2. Step 2: Convert to fraction form
    68,640.86/102,963.09 = 23,661.74/x
  3. Step 3: Cross multiply
    68,640.86x = 102,963.09 × 23,661.74
  4. Step 4: Simplify right side
    68,640.86x = 2,436,285,865.18
  5. Step 5: Solve for x
    x = 2,436,285,865.18/68,640.86
  6. Step 6: Final answer
    x = 35,493.23

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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.