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Finding the Fourth Proportional to 36,109, 49,830 and 20,193.30

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Solution

The fourth proportional to 36,109, 49,830 and 20,193.30 is: 27,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,109 : 49,830 = 20,193.30 : x
  2. Step 2: Convert to fraction form
    36,109/49,830 = 20,193.30/x
  3. Step 3: Cross multiply
    36,109x = 49,830 × 20,193.30
  4. Step 4: Simplify right side
    36,109x = 1,006,232,139
  5. Step 5: Solve for x
    x = 1,006,232,139/36,109
  6. Step 6: Final answer
    x = 27,866.52

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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.