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Finding the Fourth Proportional to 118,512.88, 177,769.33 and 47,467.78

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Solution

The fourth proportional to 118,512.88, 177,769.33 and 47,467.78 is: 71,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,512.88 : 177,769.33 = 47,467.78 : x
  2. Step 2: Convert to fraction form
    118,512.88/177,769.33 = 47,467.78/x
  3. Step 3: Cross multiply
    118,512.88x = 177,769.33 × 47,467.78
  4. Step 4: Simplify right side
    118,512.88x = 8,438,315,447.19
  5. Step 5: Solve for x
    x = 8,438,315,447.19/118,512.88
  6. Step 6: Final answer
    x = 71,201.67

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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.