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Finding the Fourth Proportional to 218,534.82, 327,858.57 and 118,669.38

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Solution

The fourth proportional to 218,534.82, 327,858.57 and 118,669.38 is: 178,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,534.82 : 327,858.57 = 118,669.38 : x
  2. Step 2: Convert to fraction form
    218,534.82/327,858.57 = 118,669.38/x
  3. Step 3: Cross multiply
    218,534.82x = 327,858.57 × 118,669.38
  4. Step 4: Simplify right side
    218,534.82x = 38,906,773,229.59
  5. Step 5: Solve for x
    x = 38,906,773,229.59/218,534.82
  6. Step 6: Final answer
    x = 178,034.66

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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.