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Finding the Fourth Proportional to 73,274.40, 109,911.78 and 20,683.86

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Solution

The fourth proportional to 73,274.40, 109,911.78 and 20,683.86 is: 31,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,274.40 : 109,911.78 = 20,683.86 : x
  2. Step 2: Convert to fraction form
    73,274.40/109,911.78 = 20,683.86/x
  3. Step 3: Cross multiply
    73,274.40x = 109,911.78 × 20,683.86
  4. Step 4: Simplify right side
    73,274.40x = 2,273,399,869.87
  5. Step 5: Solve for x
    x = 2,273,399,869.87/73,274.40
  6. Step 6: Final answer
    x = 31,025.84

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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.