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Finding the Fourth Proportional to 120,179.94, 165,853.50 and 66,464.97

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Solution

The fourth proportional to 120,179.94, 165,853.50 and 66,464.97 is: 91,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,179.94 : 165,853.50 = 66,464.97 : x
  2. Step 2: Convert to fraction form
    120,179.94/165,853.50 = 66,464.97/x
  3. Step 3: Cross multiply
    120,179.94x = 165,853.50 × 66,464.97
  4. Step 4: Simplify right side
    120,179.94x = 11,023,447,901.90
  5. Step 5: Solve for x
    x = 11,023,447,901.90/120,179.94
  6. Step 6: Final answer
    x = 91,724.52

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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.