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Finding the Fourth Proportional to 218,523.07, 327,784.61 and 78,380.11

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Solution

The fourth proportional to 218,523.07, 327,784.61 and 78,380.11 is: 117,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,523.07 : 327,784.61 = 78,380.11 : x
  2. Step 2: Convert to fraction form
    218,523.07/327,784.61 = 78,380.11/x
  3. Step 3: Cross multiply
    218,523.07x = 327,784.61 × 78,380.11
  4. Step 4: Simplify right side
    218,523.07x = 25,691,793,788.11
  5. Step 5: Solve for x
    x = 25,691,793,788.11/218,523.07
  6. Step 6: Final answer
    x = 117,570.17

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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.