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Finding the Fourth Proportional to 218,518.08, 327,845.16 and 78,277.92

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Solution

The fourth proportional to 218,518.08, 327,845.16 and 78,277.92 is: 117,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,518.08 : 327,845.16 = 78,277.92 : x
  2. Step 2: Convert to fraction form
    218,518.08/327,845.16 = 78,277.92/x
  3. Step 3: Cross multiply
    218,518.08x = 327,845.16 × 78,277.92
  4. Step 4: Simplify right side
    218,518.08x = 25,663,037,206.87
  5. Step 5: Solve for x
    x = 25,663,037,206.87/218,518.08
  6. Step 6: Final answer
    x = 117,441.25

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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.