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Finding the Fourth Proportional to 118,976.85, 164,201.78 and 71,230.17

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Solution

The fourth proportional to 118,976.85, 164,201.78 and 71,230.17 is: 98,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,976.85 : 164,201.78 = 71,230.17 : x
  2. Step 2: Convert to fraction form
    118,976.85/164,201.78 = 71,230.17/x
  3. Step 3: Cross multiply
    118,976.85x = 164,201.78 × 71,230.17
  4. Step 4: Simplify right side
    118,976.85x = 11,696,120,703.70
  5. Step 5: Solve for x
    x = 11,696,120,703.70/118,976.85
  6. Step 6: Final answer
    x = 98,305.85

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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.