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Finding the Fourth Proportional to 20,102, 30,187.02 and 13,093.88

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Solution

The fourth proportional to 20,102, 30,187.02 and 13,093.88 is: 19,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 30,187.02 = 13,093.88 : x
  2. Step 2: Convert to fraction form
    20,102/30,187.02 = 13,093.88/x
  3. Step 3: Cross multiply
    20,102x = 30,187.02 × 13,093.88
  4. Step 4: Simplify right side
    20,102x = 395,265,217.44
  5. Step 5: Solve for x
    x = 395,265,217.44/20,102
  6. Step 6: Final answer
    x = 19,662.98

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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.