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Finding the Fourth Proportional to 180,729.60, 271,191.60 and 75,559.20

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Solution

The fourth proportional to 180,729.60, 271,191.60 and 75,559.20 is: 113,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,729.60 : 271,191.60 = 75,559.20 : x
  2. Step 2: Convert to fraction form
    180,729.60/271,191.60 = 75,559.20/x
  3. Step 3: Cross multiply
    180,729.60x = 271,191.60 × 75,559.20
  4. Step 4: Simplify right side
    180,729.60x = 20,491,020,342.72
  5. Step 5: Solve for x
    x = 20,491,020,342.72/180,729.60
  6. Step 6: Final answer
    x = 113,379.44

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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.