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Finding the Fourth Proportional to 213,778.45, 320,467.20 and 80,748.10

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Solution

The fourth proportional to 213,778.45, 320,467.20 and 80,748.10 is: 121,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,778.45 : 320,467.20 = 80,748.10 : x
  2. Step 2: Convert to fraction form
    213,778.45/320,467.20 = 80,748.10/x
  3. Step 3: Cross multiply
    213,778.45x = 320,467.20 × 80,748.10
  4. Step 4: Simplify right side
    213,778.45x = 25,877,117,512.32
  5. Step 5: Solve for x
    x = 25,877,117,512.32/213,778.45
  6. Step 6: Final answer
    x = 121,046.43

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1.5x scale

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.