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Finding the Fourth Proportional to 118,945.57, 164,129.79 and 65,216.44

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Solution

The fourth proportional to 118,945.57, 164,129.79 and 65,216.44 is: 89,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,945.57 : 164,129.79 = 65,216.44 : x
  2. Step 2: Convert to fraction form
    118,945.57/164,129.79 = 65,216.44/x
  3. Step 3: Cross multiply
    118,945.57x = 164,129.79 × 65,216.44
  4. Step 4: Simplify right side
    118,945.57x = 10,703,960,601.75
  5. Step 5: Solve for x
    x = 10,703,960,601.75/118,945.57
  6. Step 6: Final answer
    x = 89,990.41

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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.