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Finding the Fourth Proportional to 120,166.50, 165,827.04 and 66,451.95

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Solution

The fourth proportional to 120,166.50, 165,827.04 and 66,451.95 is: 91,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,166.50 : 165,827.04 = 66,451.95 : x
  2. Step 2: Convert to fraction form
    120,166.50/165,827.04 = 66,451.95/x
  3. Step 3: Cross multiply
    120,166.50x = 165,827.04 × 66,451.95
  4. Step 4: Simplify right side
    120,166.50x = 11,019,530,170.73
  5. Step 5: Solve for x
    x = 11,019,530,170.73/120,166.50
  6. Step 6: Final answer
    x = 91,702.18

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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.