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Finding the Fourth Proportional to 20,105, 30,191.52 and 13,096.88

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Solution

The fourth proportional to 20,105, 30,191.52 and 13,096.88 is: 19,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105 : 30,191.52 = 13,096.88 : x
  2. Step 2: Convert to fraction form
    20,105/30,191.52 = 13,096.88/x
  3. Step 3: Cross multiply
    20,105x = 30,191.52 × 13,096.88
  4. Step 4: Simplify right side
    20,105x = 395,414,714.46
  5. Step 5: Solve for x
    x = 395,414,714.46/20,105
  6. Step 6: Final answer
    x = 19,667.48

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1.5x scale

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.