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Finding the Fourth Proportional to 73,496.81, 110,263.73 and 20,906.30

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Solution

The fourth proportional to 73,496.81, 110,263.73 and 20,906.30 is: 31,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,496.81 : 110,263.73 = 20,906.30 : x
  2. Step 2: Convert to fraction form
    73,496.81/110,263.73 = 20,906.30/x
  3. Step 3: Cross multiply
    73,496.81x = 110,263.73 × 20,906.30
  4. Step 4: Simplify right side
    73,496.81x = 2,305,206,513.97
  5. Step 5: Solve for x
    x = 2,305,206,513.97/73,496.81
  6. Step 6: Final answer
    x = 31,364.72

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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.