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Finding the Fourth Proportional to 135,745.75, 203,647.87 and 40,968

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Solution

The fourth proportional to 135,745.75, 203,647.87 and 40,968 is: 61,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,745.75 : 203,647.87 = 40,968 : x
  2. Step 2: Convert to fraction form
    135,745.75/203,647.87 = 40,968/x
  3. Step 3: Cross multiply
    135,745.75x = 203,647.87 × 40,968
  4. Step 4: Simplify right side
    135,745.75x = 8,343,045,835.74
  5. Step 5: Solve for x
    x = 8,343,045,835.74/135,745.75
  6. Step 6: Final answer
    x = 61,460.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.