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Finding the Fourth Proportional to 120,138.72, 165,796.14 and 79,782.90

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Solution

The fourth proportional to 120,138.72, 165,796.14 and 79,782.90 is: 110,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,138.72 : 165,796.14 = 79,782.90 : x
  2. Step 2: Convert to fraction form
    120,138.72/165,796.14 = 79,782.90/x
  3. Step 3: Cross multiply
    120,138.72x = 165,796.14 × 79,782.90
  4. Step 4: Simplify right side
    120,138.72x = 13,227,696,858.01
  5. Step 5: Solve for x
    x = 13,227,696,858.01/120,138.72
  6. Step 6: Final answer
    x = 110,103.53

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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.