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Finding the Fourth Proportional to 218,499.57, 327,749.36 and 78,356.61

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Solution

The fourth proportional to 218,499.57, 327,749.36 and 78,356.61 is: 117,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,499.57 : 327,749.36 = 78,356.61 : x
  2. Step 2: Convert to fraction form
    218,499.57/327,749.36 = 78,356.61/x
  3. Step 3: Cross multiply
    218,499.57x = 327,749.36 × 78,356.61
  4. Step 4: Simplify right side
    218,499.57x = 25,681,328,387.49
  5. Step 5: Solve for x
    x = 25,681,328,387.49/218,499.57
  6. Step 6: Final answer
    x = 117,534.92

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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.