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Finding the Fourth Proportional to 120,906.98, 166,848.30 and 67,190.64

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Solution

The fourth proportional to 120,906.98, 166,848.30 and 67,190.64 is: 92,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,906.98 : 166,848.30 = 67,190.64 : x
  2. Step 2: Convert to fraction form
    120,906.98/166,848.30 = 67,190.64/x
  3. Step 3: Cross multiply
    120,906.98x = 166,848.30 × 67,190.64
  4. Step 4: Simplify right side
    120,906.98x = 11,210,644,059.91
  5. Step 5: Solve for x
    x = 11,210,644,059.91/120,906.98
  6. Step 6: Final answer
    x = 92,721.23

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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.