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Finding the Fourth Proportional to 135,968.22, 187,648.80 and 82,266.42

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Solution

The fourth proportional to 135,968.22, 187,648.80 and 82,266.42 is: 113,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,968.22 : 187,648.80 = 82,266.42 : x
  2. Step 2: Convert to fraction form
    135,968.22/187,648.80 = 82,266.42/x
  3. Step 3: Cross multiply
    135,968.22x = 187,648.80 × 82,266.42
  4. Step 4: Simplify right side
    135,968.22x = 15,437,194,993.30
  5. Step 5: Solve for x
    x = 15,437,194,993.30/135,968.22
  6. Step 6: Final answer
    x = 113,535.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.