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Finding the Fourth Proportional to 120,182.08, 179,826.72 and 75,600.64

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Solution

The fourth proportional to 120,182.08, 179,826.72 and 75,600.64 is: 113,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,182.08 : 179,826.72 = 75,600.64 : x
  2. Step 2: Convert to fraction form
    120,182.08/179,826.72 = 75,600.64/x
  3. Step 3: Cross multiply
    120,182.08x = 179,826.72 × 75,600.64
  4. Step 4: Simplify right side
    120,182.08x = 13,595,015,121.10
  5. Step 5: Solve for x
    x = 13,595,015,121.10/120,182.08
  6. Step 6: Final answer
    x = 113,120.15

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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.