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Finding the Fourth Proportional to 118,969.92, 164,183.09 and 65,257.20

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Solution

The fourth proportional to 118,969.92, 164,183.09 and 65,257.20 is: 90,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,969.92 : 164,183.09 = 65,257.20 : x
  2. Step 2: Convert to fraction form
    118,969.92/164,183.09 = 65,257.20/x
  3. Step 3: Cross multiply
    118,969.92x = 164,183.09 × 65,257.20
  4. Step 4: Simplify right side
    118,969.92x = 10,714,128,414.46
  5. Step 5: Solve for x
    x = 10,714,128,414.46/118,969.92
  6. Step 6: Final answer
    x = 90,057.46

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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.