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Finding the Fourth Proportional to 221,016.02, 305,002.14 and 120,414.02

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Solution

The fourth proportional to 221,016.02, 305,002.14 and 120,414.02 is: 166,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,016.02 : 305,002.14 = 120,414.02 : x
  2. Step 2: Convert to fraction form
    221,016.02/305,002.14 = 120,414.02/x
  3. Step 3: Cross multiply
    221,016.02x = 305,002.14 × 120,414.02
  4. Step 4: Simplify right side
    221,016.02x = 36,726,533,786.00
  5. Step 5: Solve for x
    x = 36,726,533,786.00/221,016.02
  6. Step 6: Final answer
    x = 166,171.37

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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.