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Finding the Fourth Proportional to 120,998.90, 166,978.63 and 67,282.76

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Solution

The fourth proportional to 120,998.90, 166,978.63 and 67,282.76 is: 92,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,998.90 : 166,978.63 = 67,282.76 : x
  2. Step 2: Convert to fraction form
    120,998.90/166,978.63 = 67,282.76/x
  3. Step 3: Cross multiply
    120,998.90x = 166,978.63 × 67,282.76
  4. Step 4: Simplify right side
    120,998.90x = 11,234,783,087.42
  5. Step 5: Solve for x
    x = 11,234,783,087.42/120,998.90
  6. Step 6: Final answer
    x = 92,850.29

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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.