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Finding the Fourth Proportional to 221,645.54, 305,882.66 and 126,183

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Solution

The fourth proportional to 221,645.54, 305,882.66 and 126,183 is: 174,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,645.54 : 305,882.66 = 126,183 : x
  2. Step 2: Convert to fraction form
    221,645.54/305,882.66 = 126,183/x
  3. Step 3: Cross multiply
    221,645.54x = 305,882.66 × 126,183
  4. Step 4: Simplify right side
    221,645.54x = 38,597,191,686.78
  5. Step 5: Solve for x
    x = 38,597,191,686.78/221,645.54
  6. Step 6: Final answer
    x = 174,139.27

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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.