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Finding the Fourth Proportional to 120,849.62, 166,772.34 and 67,139.67

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Solution

The fourth proportional to 120,849.62, 166,772.34 and 67,139.67 is: 92,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,849.62 : 166,772.34 = 67,139.67 : x
  2. Step 2: Convert to fraction form
    120,849.62/166,772.34 = 67,139.67/x
  3. Step 3: Cross multiply
    120,849.62x = 166,772.34 × 67,139.67
  4. Step 4: Simplify right side
    120,849.62x = 11,197,039,872.73
  5. Step 5: Solve for x
    x = 11,197,039,872.73/120,849.62
  6. Step 6: Final answer
    x = 92,652.67

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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.