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Finding the Fourth Proportional to 260,188, 359,059.92 and 140,956

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Solution

The fourth proportional to 260,188, 359,059.92 and 140,956 is: 194,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,188 : 359,059.92 = 140,956 : x
  2. Step 2: Convert to fraction form
    260,188/359,059.92 = 140,956/x
  3. Step 3: Cross multiply
    260,188x = 359,059.92 × 140,956
  4. Step 4: Simplify right side
    260,188x = 50,611,650,083.52
  5. Step 5: Solve for x
    x = 50,611,650,083.52/260,188
  6. Step 6: Final answer
    x = 194,519.54

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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.