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Finding the Fourth Proportional to 68,022, 102,038.88 and 18,774

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Solution

The fourth proportional to 68,022, 102,038.88 and 18,774 is: 28,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,022 : 102,038.88 = 18,774 : x
  2. Step 2: Convert to fraction form
    68,022/102,038.88 = 18,774/x
  3. Step 3: Cross multiply
    68,022x = 102,038.88 × 18,774
  4. Step 4: Simplify right side
    68,022x = 1,915,677,933.12
  5. Step 5: Solve for x
    x = 1,915,677,933.12/68,022
  6. Step 6: Final answer
    x = 28,162.62

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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.