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Finding the Fourth Proportional to 73,243.63, 109,855.71 and 20,657.35

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Solution

The fourth proportional to 73,243.63, 109,855.71 and 20,657.35 is: 30,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,243.63 : 109,855.71 = 20,657.35 : x
  2. Step 2: Convert to fraction form
    73,243.63/109,855.71 = 20,657.35/x
  3. Step 3: Cross multiply
    73,243.63x = 109,855.71 × 20,657.35
  4. Step 4: Simplify right side
    73,243.63x = 2,269,327,850.97
  5. Step 5: Solve for x
    x = 2,269,327,850.97/73,243.63
  6. Step 6: Final answer
    x = 30,983.28

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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.