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Finding the Fourth Proportional to 221,406.39, 305,540.64 and 120,804.39

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Solution

The fourth proportional to 221,406.39, 305,540.64 and 120,804.39 is: 166,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,406.39 : 305,540.64 = 120,804.39 : x
  2. Step 2: Convert to fraction form
    221,406.39/305,540.64 = 120,804.39/x
  3. Step 3: Cross multiply
    221,406.39x = 305,540.64 × 120,804.39
  4. Step 4: Simplify right side
    221,406.39x = 36,910,650,635.41
  5. Step 5: Solve for x
    x = 36,910,650,635.41/221,406.39
  6. Step 6: Final answer
    x = 166,709.96

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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.