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Finding the Fourth Proportional to 120,443.86, 166,213.71 and 66,729.61

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Solution

The fourth proportional to 120,443.86, 166,213.71 and 66,729.61 is: 92,087.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,443.86 : 166,213.71 = 66,729.61 : x
  2. Step 2: Convert to fraction form
    120,443.86/166,213.71 = 66,729.61/x
  3. Step 3: Cross multiply
    120,443.86x = 166,213.71 × 66,729.61
  4. Step 4: Simplify right side
    120,443.86x = 11,091,376,044.95
  5. Step 5: Solve for x
    x = 11,091,376,044.95/120,443.86
  6. Step 6: Final answer
    x = 92,087.52

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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.