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Finding the Fourth Proportional to 120,189.97, 165,842.40 and 66,464.50

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Solution

The fourth proportional to 120,189.97, 165,842.40 and 66,464.50 is: 91,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,189.97 : 165,842.40 = 66,464.50 : x
  2. Step 2: Convert to fraction form
    120,189.97/165,842.40 = 66,464.50/x
  3. Step 3: Cross multiply
    120,189.97x = 165,842.40 × 66,464.50
  4. Step 4: Simplify right side
    120,189.97x = 11,022,632,194.80
  5. Step 5: Solve for x
    x = 11,022,632,194.80/120,189.97
  6. Step 6: Final answer
    x = 91,710.08

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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.