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Finding the Fourth Proportional to 120,229.80, 165,919.77 and 66,518.63

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Solution

The fourth proportional to 120,229.80, 165,919.77 and 66,518.63 is: 91,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,229.80 : 165,919.77 = 66,518.63 : x
  2. Step 2: Convert to fraction form
    120,229.80/165,919.77 = 66,518.63/x
  3. Step 3: Cross multiply
    120,229.80x = 165,919.77 × 66,518.63
  4. Step 4: Simplify right side
    120,229.80x = 11,036,756,205.11
  5. Step 5: Solve for x
    x = 11,036,756,205.11/120,229.80
  6. Step 6: Final answer
    x = 91,797.18

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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.