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Finding the Fourth Proportional to 36,490, 50,356.26 and 19,723

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Solution

The fourth proportional to 36,490, 50,356.26 and 19,723 is: 27,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,490 : 50,356.26 = 19,723 : x
  2. Step 2: Convert to fraction form
    36,490/50,356.26 = 19,723/x
  3. Step 3: Cross multiply
    36,490x = 50,356.26 × 19,723
  4. Step 4: Simplify right side
    36,490x = 993,176,515.98
  5. Step 5: Solve for x
    x = 993,176,515.98/36,490
  6. Step 6: Final answer
    x = 27,217.77

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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.