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Finding the Fourth Proportional to 20,112, 30,202.08 and 13,104

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Solution

The fourth proportional to 20,112, 30,202.08 and 13,104 is: 19,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 30,202.08 = 13,104 : x
  2. Step 2: Convert to fraction form
    20,112/30,202.08 = 13,104/x
  3. Step 3: Cross multiply
    20,112x = 30,202.08 × 13,104
  4. Step 4: Simplify right side
    20,112x = 395,768,056.32
  5. Step 5: Solve for x
    x = 395,768,056.32/20,112
  6. Step 6: Final answer
    x = 19,678.20

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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.