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Finding the Fourth Proportional to 120,028, 165,638.64 and 67,036

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Solution

The fourth proportional to 120,028, 165,638.64 and 67,036 is: 92,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,028 : 165,638.64 = 67,036 : x
  2. Step 2: Convert to fraction form
    120,028/165,638.64 = 67,036/x
  3. Step 3: Cross multiply
    120,028x = 165,638.64 × 67,036
  4. Step 4: Simplify right side
    120,028x = 11,103,751,871.04
  5. Step 5: Solve for x
    x = 11,103,751,871.04/120,028
  6. Step 6: Final answer
    x = 92,509.68

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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.