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Finding the Fourth Proportional to 120,129.62, 165,764.46 and 66,407.36

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Solution

The fourth proportional to 120,129.62, 165,764.46 and 66,407.36 is: 91,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.62 : 165,764.46 = 66,407.36 : x
  2. Step 2: Convert to fraction form
    120,129.62/165,764.46 = 66,407.36/x
  3. Step 3: Cross multiply
    120,129.62x = 165,764.46 × 66,407.36
  4. Step 4: Simplify right side
    120,129.62x = 11,007,980,170.43
  5. Step 5: Solve for x
    x = 11,007,980,170.43/120,129.62
  6. Step 6: Final answer
    x = 91,634.19

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1.5x scale

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.