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Finding the Fourth Proportional to 221,720.64, 305,974.49 and 121,118.64

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Solution

The fourth proportional to 221,720.64, 305,974.49 and 121,118.64 is: 167,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,720.64 : 305,974.49 = 121,118.64 : x
  2. Step 2: Convert to fraction form
    221,720.64/305,974.49 = 121,118.64/x
  3. Step 3: Cross multiply
    221,720.64x = 305,974.49 × 121,118.64
  4. Step 4: Simplify right side
    221,720.64x = 37,059,214,103.49
  5. Step 5: Solve for x
    x = 37,059,214,103.49/221,720.64
  6. Step 6: Final answer
    x = 167,143.73

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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.