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Finding the Fourth Proportional to 260,208, 359,087.12 and 140,976

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Solution

The fourth proportional to 260,208, 359,087.12 and 140,976 is: 194,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,208 : 359,087.12 = 140,976 : x
  2. Step 2: Convert to fraction form
    260,208/359,087.12 = 140,976/x
  3. Step 3: Cross multiply
    260,208x = 359,087.12 × 140,976
  4. Step 4: Simplify right side
    260,208x = 50,622,665,829.12
  5. Step 5: Solve for x
    x = 50,622,665,829.12/260,208
  6. Step 6: Final answer
    x = 194,546.92

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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.