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Finding the Fourth Proportional to 118,917.14, 164,101.21 and 65,200.90

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Solution

The fourth proportional to 118,917.14, 164,101.21 and 65,200.90 is: 89,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,917.14 : 164,101.21 = 65,200.90 : x
  2. Step 2: Convert to fraction form
    118,917.14/164,101.21 = 65,200.90/x
  3. Step 3: Cross multiply
    118,917.14x = 164,101.21 × 65,200.90
  4. Step 4: Simplify right side
    118,917.14x = 10,699,546,583.09
  5. Step 5: Solve for x
    x = 10,699,546,583.09/118,917.14
  6. Step 6: Final answer
    x = 89,974.81

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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.