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Finding the Fourth Proportional to 118,982.94, 164,198.64 and 65,270.70

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Solution

The fourth proportional to 118,982.94, 164,198.64 and 65,270.70 is: 90,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,982.94 : 164,198.64 = 65,270.70 : x
  2. Step 2: Convert to fraction form
    118,982.94/164,198.64 = 65,270.70/x
  3. Step 3: Cross multiply
    118,982.94x = 164,198.64 × 65,270.70
  4. Step 4: Simplify right side
    118,982.94x = 10,717,360,171.85
  5. Step 5: Solve for x
    x = 10,717,360,171.85/118,982.94
  6. Step 6: Final answer
    x = 90,074.76

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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.