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Finding the Fourth Proportional to 218,067.81, 327,145.67 and 77,822.79

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Solution

The fourth proportional to 218,067.81, 327,145.67 and 77,822.79 is: 116,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,067.81 : 327,145.67 = 77,822.79 : x
  2. Step 2: Convert to fraction form
    218,067.81/327,145.67 = 77,822.79/x
  3. Step 3: Cross multiply
    218,067.81x = 327,145.67 × 77,822.79
  4. Step 4: Simplify right side
    218,067.81x = 25,459,388,386.71
  5. Step 5: Solve for x
    x = 25,459,388,386.71/218,067.81
  6. Step 6: Final answer
    x = 116,749.87

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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.