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Finding the Fourth Proportional to 221,328, 305,432.64 and 120,726

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Solution

The fourth proportional to 221,328, 305,432.64 and 120,726 is: 166,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,328 : 305,432.64 = 120,726 : x
  2. Step 2: Convert to fraction form
    221,328/305,432.64 = 120,726/x
  3. Step 3: Cross multiply
    221,328x = 305,432.64 × 120,726
  4. Step 4: Simplify right side
    221,328x = 36,873,660,896.64
  5. Step 5: Solve for x
    x = 36,873,660,896.64/221,328
  6. Step 6: Final answer
    x = 166,601.88

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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.