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Finding the Fourth Proportional to 213,961.60, 320,820.90 and 80,846.20

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Solution

The fourth proportional to 213,961.60, 320,820.90 and 80,846.20 is: 121,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,961.60 : 320,820.90 = 80,846.20 : x
  2. Step 2: Convert to fraction form
    213,961.60/320,820.90 = 80,846.20/x
  3. Step 3: Cross multiply
    213,961.60x = 320,820.90 × 80,846.20
  4. Step 4: Simplify right side
    213,961.60x = 25,937,150,645.58
  5. Step 5: Solve for x
    x = 25,937,150,645.58/213,961.60
  6. Step 6: Final answer
    x = 121,223.39

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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.