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Finding the Fourth Proportional to 154,234.40, 231,697.20 and 147,936.80

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Solution

The fourth proportional to 154,234.40, 231,697.20 and 147,936.80 is: 222,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,234.40 : 231,697.20 = 147,936.80 : x
  2. Step 2: Convert to fraction form
    154,234.40/231,697.20 = 147,936.80/x
  3. Step 3: Cross multiply
    154,234.40x = 231,697.20 × 147,936.80
  4. Step 4: Simplify right side
    154,234.40x = 34,276,542,336.96
  5. Step 5: Solve for x
    x = 34,276,542,336.96/154,234.40
  6. Step 6: Final answer
    x = 222,236.69

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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.