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Finding the Fourth Proportional to 221,379, 305,502.72 and 120,777

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Solution

The fourth proportional to 221,379, 305,502.72 and 120,777 is: 166,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,379 : 305,502.72 = 120,777 : x
  2. Step 2: Convert to fraction form
    221,379/305,502.72 = 120,777/x
  3. Step 3: Cross multiply
    221,379x = 305,502.72 × 120,777
  4. Step 4: Simplify right side
    221,379x = 36,897,702,013.44
  5. Step 5: Solve for x
    x = 36,897,702,013.44/221,379
  6. Step 6: Final answer
    x = 166,672.10

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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.