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Finding the Fourth Proportional to 20,096, 30,178.02 and 13,087.88

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Solution

The fourth proportional to 20,096, 30,178.02 and 13,087.88 is: 19,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096 : 30,178.02 = 13,087.88 : x
  2. Step 2: Convert to fraction form
    20,096/30,178.02 = 13,087.88/x
  3. Step 3: Cross multiply
    20,096x = 30,178.02 × 13,087.88
  4. Step 4: Simplify right side
    20,096x = 394,966,304.40
  5. Step 5: Solve for x
    x = 394,966,304.40/20,096
  6. Step 6: Final answer
    x = 19,653.98

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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.