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Finding the Fourth Proportional to 43,546.80, 65,304.81 and 20,747.87

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Solution

The fourth proportional to 43,546.80, 65,304.81 and 20,747.87 is: 31,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,546.80 : 65,304.81 = 20,747.87 : x
  2. Step 2: Convert to fraction form
    43,546.80/65,304.81 = 20,747.87/x
  3. Step 3: Cross multiply
    43,546.80x = 65,304.81 × 20,747.87
  4. Step 4: Simplify right side
    43,546.80x = 1,354,935,381.73
  5. Step 5: Solve for x
    x = 1,354,935,381.73/43,546.80
  6. Step 6: Final answer
    x = 31,114.46

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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.