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Finding the Fourth Proportional to 43,813.76, 65,764.48 and 20,456.64

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Solution

The fourth proportional to 43,813.76, 65,764.48 and 20,456.64 is: 30,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813.76 : 65,764.48 = 20,456.64 : x
  2. Step 2: Convert to fraction form
    43,813.76/65,764.48 = 20,456.64/x
  3. Step 3: Cross multiply
    43,813.76x = 65,764.48 × 20,456.64
  4. Step 4: Simplify right side
    43,813.76x = 1,345,320,292.15
  5. Step 5: Solve for x
    x = 1,345,320,292.15/43,813.76
  6. Step 6: Final answer
    x = 30,705.43

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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.