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Finding the Fourth Proportional to 120,561.60, 180,928.80 and 50,491.20

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Solution

The fourth proportional to 120,561.60, 180,928.80 and 50,491.20 is: 75,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,561.60 : 180,928.80 = 50,491.20 : x
  2. Step 2: Convert to fraction form
    120,561.60/180,928.80 = 50,491.20/x
  3. Step 3: Cross multiply
    120,561.60x = 180,928.80 × 50,491.20
  4. Step 4: Simplify right side
    120,561.60x = 9,135,312,226.56
  5. Step 5: Solve for x
    x = 9,135,312,226.56/120,561.60
  6. Step 6: Final answer
    x = 75,772.98

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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.