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Finding the Fourth Proportional to 68,004, 102,011.76 and 18,756

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Solution

The fourth proportional to 68,004, 102,011.76 and 18,756 is: 28,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,004 : 102,011.76 = 18,756 : x
  2. Step 2: Convert to fraction form
    68,004/102,011.76 = 18,756/x
  3. Step 3: Cross multiply
    68,004x = 102,011.76 × 18,756
  4. Step 4: Simplify right side
    68,004x = 1,913,332,570.56
  5. Step 5: Solve for x
    x = 1,913,332,570.56/68,004
  6. Step 6: Final answer
    x = 28,135.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.