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Finding the Fourth Proportional to 100,579.07, 150,728.29 and 75,589.86

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Solution

The fourth proportional to 100,579.07, 150,728.29 and 75,589.86 is: 113,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,579.07 : 150,728.29 = 75,589.86 : x
  2. Step 2: Convert to fraction form
    100,579.07/150,728.29 = 75,589.86/x
  3. Step 3: Cross multiply
    100,579.07x = 150,728.29 × 75,589.86
  4. Step 4: Simplify right side
    100,579.07x = 11,393,530,292.74
  5. Step 5: Solve for x
    x = 11,393,530,292.74/100,579.07
  6. Step 6: Final answer
    x = 113,279.34

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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.