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Finding the Fourth Proportional to 20,106, 30,159 and 6,954.84

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Solution

The fourth proportional to 20,106, 30,159 and 6,954.84 is: 10,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 30,159 = 6,954.84 : x
  2. Step 2: Convert to fraction form
    20,106/30,159 = 6,954.84/x
  3. Step 3: Cross multiply
    20,106x = 30,159 × 6,954.84
  4. Step 4: Simplify right side
    20,106x = 209,751,019.56
  5. Step 5: Solve for x
    x = 209,751,019.56/20,106
  6. Step 6: Final answer
    x = 10,432.26

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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.