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Finding the Fourth Proportional to 218,796.04, 327,997.09 and 78,521.86

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Solution

The fourth proportional to 218,796.04, 327,997.09 and 78,521.86 is: 117,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,796.04 : 327,997.09 = 78,521.86 : x
  2. Step 2: Convert to fraction form
    218,796.04/327,997.09 = 78,521.86/x
  3. Step 3: Cross multiply
    218,796.04x = 327,997.09 × 78,521.86
  4. Step 4: Simplify right side
    218,796.04x = 25,754,941,581.39
  5. Step 5: Solve for x
    x = 25,754,941,581.39/218,796.04
  6. Step 6: Final answer
    x = 117,712.10

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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.