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Finding the Fourth Proportional to 68,134.50, 102,202.02 and 18,886.50

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Solution

The fourth proportional to 68,134.50, 102,202.02 and 18,886.50 is: 28,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,134.50 : 102,202.02 = 18,886.50 : x
  2. Step 2: Convert to fraction form
    68,134.50/102,202.02 = 18,886.50/x
  3. Step 3: Cross multiply
    68,134.50x = 102,202.02 × 18,886.50
  4. Step 4: Simplify right side
    68,134.50x = 1,930,238,450.73
  5. Step 5: Solve for x
    x = 1,930,238,450.73/68,134.50
  6. Step 6: Final answer
    x = 28,329.82

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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.