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Finding the Fourth Proportional to 118,976.62, 164,131.14 and 71,220.80

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Solution

The fourth proportional to 118,976.62, 164,131.14 and 71,220.80 is: 98,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,976.62 : 164,131.14 = 71,220.80 : x
  2. Step 2: Convert to fraction form
    118,976.62/164,131.14 = 71,220.80/x
  3. Step 3: Cross multiply
    118,976.62x = 164,131.14 × 71,220.80
  4. Step 4: Simplify right side
    118,976.62x = 11,689,551,095.71
  5. Step 5: Solve for x
    x = 11,689,551,095.71/118,976.62
  6. Step 6: Final answer
    x = 98,250.83

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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.