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Finding the Fourth Proportional to 221,708.58, 305,959.86 and 126,221.46

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Solution

The fourth proportional to 221,708.58, 305,959.86 and 126,221.46 is: 174,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,708.58 : 305,959.86 = 126,221.46 : x
  2. Step 2: Convert to fraction form
    221,708.58/305,959.86 = 126,221.46/x
  3. Step 3: Cross multiply
    221,708.58x = 305,959.86 × 126,221.46
  4. Step 4: Simplify right side
    221,708.58x = 38,618,700,230.60
  5. Step 5: Solve for x
    x = 38,618,700,230.60/221,708.58
  6. Step 6: Final answer
    x = 174,186.76

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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.