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Finding the Fourth Proportional to 120,997.81, 166,970.11 and 67,281.67

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Solution

The fourth proportional to 120,997.81, 166,970.11 and 67,281.67 is: 92,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,997.81 : 166,970.11 = 67,281.67 : x
  2. Step 2: Convert to fraction form
    120,997.81/166,970.11 = 67,281.67/x
  3. Step 3: Cross multiply
    120,997.81x = 166,970.11 × 67,281.67
  4. Step 4: Simplify right side
    120,997.81x = 11,234,027,881.39
  5. Step 5: Solve for x
    x = 11,234,027,881.39/120,997.81
  6. Step 6: Final answer
    x = 92,844.89

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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.