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Finding the Fourth Proportional to 218,066.31, 327,143.41 and 77,821.29

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Solution

The fourth proportional to 218,066.31, 327,143.41 and 77,821.29 is: 116,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,066.31 : 327,143.41 = 77,821.29 : x
  2. Step 2: Convert to fraction form
    218,066.31/327,143.41 = 77,821.29/x
  3. Step 3: Cross multiply
    218,066.31x = 327,143.41 × 77,821.29
  4. Step 4: Simplify right side
    218,066.31x = 25,458,721,986.65
  5. Step 5: Solve for x
    x = 25,458,721,986.65/218,066.31
  6. Step 6: Final answer
    x = 116,747.62

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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.