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Finding the Fourth Proportional to 120,102.30, 165,723.42 and 68,419.86

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Solution

The fourth proportional to 120,102.30, 165,723.42 and 68,419.86 is: 94,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.30 : 165,723.42 = 68,419.86 : x
  2. Step 2: Convert to fraction form
    120,102.30/165,723.42 = 68,419.86/x
  3. Step 3: Cross multiply
    120,102.30x = 165,723.42 × 68,419.86
  4. Step 4: Simplify right side
    120,102.30x = 11,338,773,195.12
  5. Step 5: Solve for x
    x = 11,338,773,195.12/120,102.30
  6. Step 6: Final answer
    x = 94,409.29

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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.