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Finding the Fourth Proportional to 221,673.86, 305,910.27 and 126,180.56

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Solution

The fourth proportional to 221,673.86, 305,910.27 and 126,180.56 is: 174,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,673.86 : 305,910.27 = 126,180.56 : x
  2. Step 2: Convert to fraction form
    221,673.86/305,910.27 = 126,180.56/x
  3. Step 3: Cross multiply
    221,673.86x = 305,910.27 × 126,180.56
  4. Step 4: Simplify right side
    221,673.86x = 38,599,927,648.80
  5. Step 5: Solve for x
    x = 38,599,927,648.80/221,673.86
  6. Step 6: Final answer
    x = 174,129.37

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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.