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Finding the Fourth Proportional to 66,724.94, 100,083.90 and 16,805

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Solution

The fourth proportional to 66,724.94, 100,083.90 and 16,805 is: 25,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,724.94 : 100,083.90 = 16,805 : x
  2. Step 2: Convert to fraction form
    66,724.94/100,083.90 = 16,805/x
  3. Step 3: Cross multiply
    66,724.94x = 100,083.90 × 16,805
  4. Step 4: Simplify right side
    66,724.94x = 1,681,909,939.50
  5. Step 5: Solve for x
    x = 1,681,909,939.50/66,724.94
  6. Step 6: Final answer
    x = 25,206.62

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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.