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Finding the Fourth Proportional to 221,697.83, 305,958.44 and 126,204.50

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Solution

The fourth proportional to 221,697.83, 305,958.44 and 126,204.50 is: 174,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,697.83 : 305,958.44 = 126,204.50 : x
  2. Step 2: Convert to fraction form
    221,697.83/305,958.44 = 126,204.50/x
  3. Step 3: Cross multiply
    221,697.83x = 305,958.44 × 126,204.50
  4. Step 4: Simplify right side
    221,697.83x = 38,613,333,021.39
  5. Step 5: Solve for x
    x = 38,613,333,021.39/221,697.83
  6. Step 6: Final answer
    x = 174,171.00

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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.