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Finding the Fourth Proportional to 120,410.62, 166,122.04 and 77,992.54

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Solution

The fourth proportional to 120,410.62, 166,122.04 and 77,992.54 is: 107,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.62 : 166,122.04 = 77,992.54 : x
  2. Step 2: Convert to fraction form
    120,410.62/166,122.04 = 77,992.54/x
  3. Step 3: Cross multiply
    120,410.62x = 166,122.04 × 77,992.54
  4. Step 4: Simplify right side
    120,410.62x = 12,956,279,849.58
  5. Step 5: Solve for x
    x = 12,956,279,849.58/120,410.62
  6. Step 6: Final answer
    x = 107,600.81

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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.