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Finding the Fourth Proportional to 221,010.52, 304,994.55 and 120,408.52

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Solution

The fourth proportional to 221,010.52, 304,994.55 and 120,408.52 is: 166,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,010.52 : 304,994.55 = 120,408.52 : x
  2. Step 2: Convert to fraction form
    221,010.52/304,994.55 = 120,408.52/x
  3. Step 3: Cross multiply
    221,010.52x = 304,994.55 × 120,408.52
  4. Step 4: Simplify right side
    221,010.52x = 36,723,942,373.57
  5. Step 5: Solve for x
    x = 36,723,942,373.57/221,010.52
  6. Step 6: Final answer
    x = 166,163.78

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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.