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Finding the Fourth Proportional to 36,106, 49,825.86 and 20,190.30

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Solution

The fourth proportional to 36,106, 49,825.86 and 20,190.30 is: 27,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106 : 49,825.86 = 20,190.30 : x
  2. Step 2: Convert to fraction form
    36,106/49,825.86 = 20,190.30/x
  3. Step 3: Cross multiply
    36,106x = 49,825.86 × 20,190.30
  4. Step 4: Simplify right side
    36,106x = 1,005,999,061.16
  5. Step 5: Solve for x
    x = 1,005,999,061.16/36,106
  6. Step 6: Final answer
    x = 27,862.38

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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.