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Finding the Fourth Proportional to 220,970.64, 331,198.80 and 126,267.20

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Solution

The fourth proportional to 220,970.64, 331,198.80 and 126,267.20 is: 189,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,970.64 : 331,198.80 = 126,267.20 : x
  2. Step 2: Convert to fraction form
    220,970.64/331,198.80 = 126,267.20/x
  3. Step 3: Cross multiply
    220,970.64x = 331,198.80 × 126,267.20
  4. Step 4: Simplify right side
    220,970.64x = 41,819,545,119.36
  5. Step 5: Solve for x
    x = 41,819,545,119.36/220,970.64
  6. Step 6: Final answer
    x = 189,253.85

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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.