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Finding the Fourth Proportional to 221,694.09, 305,938.11 and 126,200.69

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Solution

The fourth proportional to 221,694.09, 305,938.11 and 126,200.69 is: 174,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,694.09 : 305,938.11 = 126,200.69 : x
  2. Step 2: Convert to fraction form
    221,694.09/305,938.11 = 126,200.69/x
  3. Step 3: Cross multiply
    221,694.09x = 305,938.11 × 126,200.69
  4. Step 4: Simplify right side
    221,694.09x = 38,609,600,579.30
  5. Step 5: Solve for x
    x = 38,609,600,579.30/221,694.09
  6. Step 6: Final answer
    x = 174,157.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.