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Finding the Fourth Proportional to 68,647.96, 102,969.78 and 31,180.60

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Solution

The fourth proportional to 68,647.96, 102,969.78 and 31,180.60 is: 46,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,647.96 : 102,969.78 = 31,180.60 : x
  2. Step 2: Convert to fraction form
    68,647.96/102,969.78 = 31,180.60/x
  3. Step 3: Cross multiply
    68,647.96x = 102,969.78 × 31,180.60
  4. Step 4: Simplify right side
    68,647.96x = 3,210,659,522.27
  5. Step 5: Solve for x
    x = 3,210,659,522.27/68,647.96
  6. Step 6: Final answer
    x = 46,769.92

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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.