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Finding the Fourth Proportional to 120,500.80, 180,751.20 and 80,411.20

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Solution

The fourth proportional to 120,500.80, 180,751.20 and 80,411.20 is: 120,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,500.80 : 180,751.20 = 80,411.20 : x
  2. Step 2: Convert to fraction form
    120,500.80/180,751.20 = 80,411.20/x
  3. Step 3: Cross multiply
    120,500.80x = 180,751.20 × 80,411.20
  4. Step 4: Simplify right side
    120,500.80x = 14,534,420,893.44
  5. Step 5: Solve for x
    x = 14,534,420,893.44/120,500.80
  6. Step 6: Final answer
    x = 120,616.80

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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.