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Finding the Fourth Proportional to 218,305.86, 327,458.79 and 78,055.98

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Solution

The fourth proportional to 218,305.86, 327,458.79 and 78,055.98 is: 117,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,305.86 : 327,458.79 = 78,055.98 : x
  2. Step 2: Convert to fraction form
    218,305.86/327,458.79 = 78,055.98/x
  3. Step 3: Cross multiply
    218,305.86x = 327,458.79 × 78,055.98
  4. Step 4: Simplify right side
    218,305.86x = 25,560,116,763.06
  5. Step 5: Solve for x
    x = 25,560,116,763.06/218,305.86
  6. Step 6: Final answer
    x = 117,083.97

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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.