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Finding the Fourth Proportional to 120,098.44, 165,742.31 and 66,388.45

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Solution

The fourth proportional to 120,098.44, 165,742.31 and 66,388.45 is: 91,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,098.44 : 165,742.31 = 66,388.45 : x
  2. Step 2: Convert to fraction form
    120,098.44/165,742.31 = 66,388.45/x
  3. Step 3: Cross multiply
    120,098.44x = 165,742.31 × 66,388.45
  4. Step 4: Simplify right side
    120,098.44x = 11,003,373,899.67
  5. Step 5: Solve for x
    x = 11,003,373,899.67/120,098.44
  6. Step 6: Final answer
    x = 91,619.63

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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.