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Finding the Fourth Proportional to 71,274.60, 106,912.35 and 18,683.63

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Solution

The fourth proportional to 71,274.60, 106,912.35 and 18,683.63 is: 28,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.60 : 106,912.35 = 18,683.63 : x
  2. Step 2: Convert to fraction form
    71,274.60/106,912.35 = 18,683.63/x
  3. Step 3: Cross multiply
    71,274.60x = 106,912.35 × 18,683.63
  4. Step 4: Simplify right side
    71,274.60x = 1,997,510,255.27
  5. Step 5: Solve for x
    x = 1,997,510,255.27/71,274.60
  6. Step 6: Final answer
    x = 28,025.56

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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.