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Finding the Fourth Proportional to 120,087.96, 165,729.96 and 66,371.81

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Solution

The fourth proportional to 120,087.96, 165,729.96 and 66,371.81 is: 91,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,087.96 : 165,729.96 = 66,371.81 : x
  2. Step 2: Convert to fraction form
    120,087.96/165,729.96 = 66,371.81/x
  3. Step 3: Cross multiply
    120,087.96x = 165,729.96 × 66,371.81
  4. Step 4: Simplify right side
    120,087.96x = 10,999,797,416.43
  5. Step 5: Solve for x
    x = 10,999,797,416.43/120,087.96
  6. Step 6: Final answer
    x = 91,597.84

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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.