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Finding the Fourth Proportional to 120,736.20, 166,608.06 and 67,021.20

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Solution

The fourth proportional to 120,736.20, 166,608.06 and 67,021.20 is: 92,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736.20 : 166,608.06 = 67,021.20 : x
  2. Step 2: Convert to fraction form
    120,736.20/166,608.06 = 67,021.20/x
  3. Step 3: Cross multiply
    120,736.20x = 166,608.06 × 67,021.20
  4. Step 4: Simplify right side
    120,736.20x = 11,166,272,110.87
  5. Step 5: Solve for x
    x = 11,166,272,110.87/120,736.20
  6. Step 6: Final answer
    x = 92,484.87

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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.