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Finding the Fourth Proportional to 218,102.36, 327,177 and 91,755.47

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Solution

The fourth proportional to 218,102.36, 327,177 and 91,755.47 is: 137,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,102.36 : 327,177 = 91,755.47 : x
  2. Step 2: Convert to fraction form
    218,102.36/327,177 = 91,755.47/x
  3. Step 3: Cross multiply
    218,102.36x = 327,177 × 91,755.47
  4. Step 4: Simplify right side
    218,102.36x = 30,020,279,408.19
  5. Step 5: Solve for x
    x = 30,020,279,408.19/218,102.36
  6. Step 6: Final answer
    x = 137,643.07

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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.