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Finding the Fourth Proportional to 120,364.48, 180,445.11 and 75,893.20

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Solution

The fourth proportional to 120,364.48, 180,445.11 and 75,893.20 is: 113,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.48 : 180,445.11 = 75,893.20 : x
  2. Step 2: Convert to fraction form
    120,364.48/180,445.11 = 75,893.20/x
  3. Step 3: Cross multiply
    120,364.48x = 180,445.11 × 75,893.20
  4. Step 4: Simplify right side
    120,364.48x = 13,694,555,920.03
  5. Step 5: Solve for x
    x = 13,694,555,920.03/120,364.48
  6. Step 6: Final answer
    x = 113,775.73

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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.