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Finding the Fourth Proportional to 221,652.04, 305,891.64 and 126,189.49

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Solution

The fourth proportional to 221,652.04, 305,891.64 and 126,189.49 is: 174,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,652.04 : 305,891.64 = 126,189.49 : x
  2. Step 2: Convert to fraction form
    221,652.04/305,891.64 = 126,189.49/x
  3. Step 3: Cross multiply
    221,652.04x = 305,891.64 × 126,189.49
  4. Step 4: Simplify right side
    221,652.04x = 38,600,310,046.86
  5. Step 5: Solve for x
    x = 38,600,310,046.86/221,652.04
  6. Step 6: Final answer
    x = 174,148.23

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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.