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Finding the Fourth Proportional to 100,749.75, 150,832.80 and 75,894.48

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Solution

The fourth proportional to 100,749.75, 150,832.80 and 75,894.48 is: 113,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,749.75 : 150,832.80 = 75,894.48 : x
  2. Step 2: Convert to fraction form
    100,749.75/150,832.80 = 75,894.48/x
  3. Step 3: Cross multiply
    100,749.75x = 150,832.80 × 75,894.48
  4. Step 4: Simplify right side
    100,749.75x = 11,447,376,922.94
  5. Step 5: Solve for x
    x = 11,447,376,922.94/100,749.75
  6. Step 6: Final answer
    x = 113,621.89

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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.