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Finding the Fourth Proportional to 218,438.64, 327,692.52 and 78,194.16

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Solution

The fourth proportional to 218,438.64, 327,692.52 and 78,194.16 is: 117,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,438.64 : 327,692.52 = 78,194.16 : x
  2. Step 2: Convert to fraction form
    218,438.64/327,692.52 = 78,194.16/x
  3. Step 3: Cross multiply
    218,438.64x = 327,692.52 × 78,194.16
  4. Step 4: Simplify right side
    218,438.64x = 25,623,641,339.68
  5. Step 5: Solve for x
    x = 25,623,641,339.68/218,438.64
  6. Step 6: Final answer
    x = 117,303.61

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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.