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Finding the Fourth Proportional to 218,726, 301,755.48 and 138,123.44

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Solution

The fourth proportional to 218,726, 301,755.48 and 138,123.44 is: 190,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,726 : 301,755.48 = 138,123.44 : x
  2. Step 2: Convert to fraction form
    218,726/301,755.48 = 138,123.44/x
  3. Step 3: Cross multiply
    218,726x = 301,755.48 × 138,123.44
  4. Step 4: Simplify right side
    218,726x = 41,679,504,936.45
  5. Step 5: Solve for x
    x = 41,679,504,936.45/218,726
  6. Step 6: Final answer
    x = 190,555.79

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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.