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Finding the Fourth Proportional to 120,093.44, 165,728 and 66,382.08

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Solution

The fourth proportional to 120,093.44, 165,728 and 66,382.08 is: 91,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,093.44 : 165,728 = 66,382.08 : x
  2. Step 2: Convert to fraction form
    120,093.44/165,728 = 66,382.08/x
  3. Step 3: Cross multiply
    120,093.44x = 165,728 × 66,382.08
  4. Step 4: Simplify right side
    120,093.44x = 11,001,369,354.24
  5. Step 5: Solve for x
    x = 11,001,369,354.24/120,093.44
  6. Step 6: Final answer
    x = 91,606.75

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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.