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Finding the Fourth Proportional to 154,651.20, 231,976.80 and 75,919.20

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Solution

The fourth proportional to 154,651.20, 231,976.80 and 75,919.20 is: 113,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,651.20 : 231,976.80 = 75,919.20 : x
  2. Step 2: Convert to fraction form
    154,651.20/231,976.80 = 75,919.20/x
  3. Step 3: Cross multiply
    154,651.20x = 231,976.80 × 75,919.20
  4. Step 4: Simplify right side
    154,651.20x = 17,611,493,074.56
  5. Step 5: Solve for x
    x = 17,611,493,074.56/154,651.20
  6. Step 6: Final answer
    x = 113,878.80

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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.