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Finding the Fourth Proportional to 43,807.90, 65,734.80 and 20,122.60

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Solution

The fourth proportional to 43,807.90, 65,734.80 and 20,122.60 is: 30,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.90 : 65,734.80 = 20,122.60 : x
  2. Step 2: Convert to fraction form
    43,807.90/65,734.80 = 20,122.60/x
  3. Step 3: Cross multiply
    43,807.90x = 65,734.80 × 20,122.60
  4. Step 4: Simplify right side
    43,807.90x = 1,322,755,086.48
  5. Step 5: Solve for x
    x = 1,322,755,086.48/43,807.90
  6. Step 6: Final answer
    x = 30,194.44

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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.