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Finding the Fourth Proportional to 253,470.44, 380,157.21 and 75,977.43

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Solution

The fourth proportional to 253,470.44, 380,157.21 and 75,977.43 is: 113,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,470.44 : 380,157.21 = 75,977.43 : x
  2. Step 2: Convert to fraction form
    253,470.44/380,157.21 = 75,977.43/x
  3. Step 3: Cross multiply
    253,470.44x = 380,157.21 × 75,977.43
  4. Step 4: Simplify right side
    253,470.44x = 28,883,367,811.77
  5. Step 5: Solve for x
    x = 28,883,367,811.77/253,470.44
  6. Step 6: Final answer
    x = 113,951.62

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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.