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Finding the Fourth Proportional to 218,499.58, 327,781.64 and 111,943.81

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Solution

The fourth proportional to 218,499.58, 327,781.64 and 111,943.81 is: 167,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,499.58 : 327,781.64 = 111,943.81 : x
  2. Step 2: Convert to fraction form
    218,499.58/327,781.64 = 111,943.81/x
  3. Step 3: Cross multiply
    218,499.58x = 327,781.64 × 111,943.81
  4. Step 4: Simplify right side
    218,499.58x = 36,693,125,629.65
  5. Step 5: Solve for x
    x = 36,693,125,629.65/218,499.58
  6. Step 6: Final answer
    x = 167,932.25

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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.