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Finding the Fourth Proportional to 49,093.61, 73,640.73 and 20,990

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Solution

The fourth proportional to 49,093.61, 73,640.73 and 20,990 is: 31,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,093.61 : 73,640.73 = 20,990 : x
  2. Step 2: Convert to fraction form
    49,093.61/73,640.73 = 20,990/x
  3. Step 3: Cross multiply
    49,093.61x = 73,640.73 × 20,990
  4. Step 4: Simplify right side
    49,093.61x = 1,545,718,922.70
  5. Step 5: Solve for x
    x = 1,545,718,922.70/49,093.61
  6. Step 6: Final answer
    x = 31,485.13

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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.