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Finding the Fourth Proportional to 120,129.64, 165,771.78 and 66,410.44

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Solution

The fourth proportional to 120,129.64, 165,771.78 and 66,410.44 is: 91,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.64 : 165,771.78 = 66,410.44 : x
  2. Step 2: Convert to fraction form
    120,129.64/165,771.78 = 66,410.44/x
  3. Step 3: Cross multiply
    120,129.64x = 165,771.78 × 66,410.44
  4. Step 4: Simplify right side
    120,129.64x = 11,008,976,849.38
  5. Step 5: Solve for x
    x = 11,008,976,849.38/120,129.64
  6. Step 6: Final answer
    x = 91,642.47

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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.