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Finding the Fourth Proportional to 118,212, 177,218.20 and 54,999.49

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Solution

The fourth proportional to 118,212, 177,218.20 and 54,999.49 is: 82,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,212 : 177,218.20 = 54,999.49 : x
  2. Step 2: Convert to fraction form
    118,212/177,218.20 = 54,999.49/x
  3. Step 3: Cross multiply
    118,212x = 177,218.20 × 54,999.49
  4. Step 4: Simplify right side
    118,212x = 9,746,910,618.72
  5. Step 5: Solve for x
    x = 9,746,910,618.72/118,212
  6. Step 6: Final answer
    x = 82,452.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.