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Finding the Fourth Proportional to 66,909.40, 100,364.14 and 16,993.24

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Solution

The fourth proportional to 66,909.40, 100,364.14 and 16,993.24 is: 25,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,909.40 : 100,364.14 = 16,993.24 : x
  2. Step 2: Convert to fraction form
    66,909.40/100,364.14 = 16,993.24/x
  3. Step 3: Cross multiply
    66,909.40x = 100,364.14 × 16,993.24
  4. Step 4: Simplify right side
    66,909.40x = 1,705,511,918.41
  5. Step 5: Solve for x
    x = 1,705,511,918.41/66,909.40
  6. Step 6: Final answer
    x = 25,489.87

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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.