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Finding the Fourth Proportional to 100,524.39, 150,556.91 and 47,970.78

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Solution

The fourth proportional to 100,524.39, 150,556.91 and 47,970.78 is: 71,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,524.39 : 150,556.91 = 47,970.78 : x
  2. Step 2: Convert to fraction form
    100,524.39/150,556.91 = 47,970.78/x
  3. Step 3: Cross multiply
    100,524.39x = 150,556.91 × 47,970.78
  4. Step 4: Simplify right side
    100,524.39x = 7,222,332,167.24
  5. Step 5: Solve for x
    x = 7,222,332,167.24/100,524.39
  6. Step 6: Final answer
    x = 71,846.57

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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.