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Finding the Fourth Proportional to 221,522.22, 305,699.94 and 120,920.22

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Solution

The fourth proportional to 221,522.22, 305,699.94 and 120,920.22 is: 166,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,522.22 : 305,699.94 = 120,920.22 : x
  2. Step 2: Convert to fraction form
    221,522.22/305,699.94 = 120,920.22/x
  3. Step 3: Cross multiply
    221,522.22x = 305,699.94 × 120,920.22
  4. Step 4: Simplify right side
    221,522.22x = 36,965,303,998.79
  5. Step 5: Solve for x
    x = 36,965,303,998.79/221,522.22
  6. Step 6: Final answer
    x = 166,869.51

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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.