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Finding the Fourth Proportional to 70,683.10, 106,025.12 and 20,763

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Solution

The fourth proportional to 70,683.10, 106,025.12 and 20,763 is: 31,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,683.10 : 106,025.12 = 20,763 : x
  2. Step 2: Convert to fraction form
    70,683.10/106,025.12 = 20,763/x
  3. Step 3: Cross multiply
    70,683.10x = 106,025.12 × 20,763
  4. Step 4: Simplify right side
    70,683.10x = 2,201,399,566.56
  5. Step 5: Solve for x
    x = 2,201,399,566.56/70,683.10
  6. Step 6: Final answer
    x = 31,144.64

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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.