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Finding the Fourth Proportional to 218,692.58, 327,989.64 and 78,451.20

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Solution

The fourth proportional to 218,692.58, 327,989.64 and 78,451.20 is: 117,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,692.58 : 327,989.64 = 78,451.20 : x
  2. Step 2: Convert to fraction form
    218,692.58/327,989.64 = 78,451.20/x
  3. Step 3: Cross multiply
    218,692.58x = 327,989.64 × 78,451.20
  4. Step 4: Simplify right side
    218,692.58x = 25,731,180,845.57
  5. Step 5: Solve for x
    x = 25,731,180,845.57/218,692.58
  6. Step 6: Final answer
    x = 117,659.14

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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.