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Finding the Fourth Proportional to 120,231.68, 165,922.36 and 66,520.51

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Solution

The fourth proportional to 120,231.68, 165,922.36 and 66,520.51 is: 91,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,231.68 : 165,922.36 = 66,520.51 : x
  2. Step 2: Convert to fraction form
    120,231.68/165,922.36 = 66,520.51/x
  3. Step 3: Cross multiply
    120,231.68x = 165,922.36 × 66,520.51
  4. Step 4: Simplify right side
    120,231.68x = 11,037,239,426.50
  5. Step 5: Solve for x
    x = 11,037,239,426.50/120,231.68
  6. Step 6: Final answer
    x = 91,799.76

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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.