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Finding the Fourth Proportional to 36,990, 51,046.20 and 20,223

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Solution

The fourth proportional to 36,990, 51,046.20 and 20,223 is: 27,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,990 : 51,046.20 = 20,223 : x
  2. Step 2: Convert to fraction form
    36,990/51,046.20 = 20,223/x
  3. Step 3: Cross multiply
    36,990x = 51,046.20 × 20,223
  4. Step 4: Simplify right side
    36,990x = 1,032,307,302.60
  5. Step 5: Solve for x
    x = 1,032,307,302.60/36,990
  6. Step 6: Final answer
    x = 27,907.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.