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Finding the Fourth Proportional to 120,493.98, 166,287.30 and 66,779

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Solution

The fourth proportional to 120,493.98, 166,287.30 and 66,779 is: 92,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,493.98 : 166,287.30 = 66,779 : x
  2. Step 2: Convert to fraction form
    120,493.98/166,287.30 = 66,779/x
  3. Step 3: Cross multiply
    120,493.98x = 166,287.30 × 66,779
  4. Step 4: Simplify right side
    120,493.98x = 11,104,499,272.81
  5. Step 5: Solve for x
    x = 11,104,499,272.81/120,493.98
  6. Step 6: Final answer
    x = 92,158.13

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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.