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Finding the Fourth Proportional to 66,998.34, 100,512.09 and 20,250

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Solution

The fourth proportional to 66,998.34, 100,512.09 and 20,250 is: 30,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,998.34 : 100,512.09 = 20,250 : x
  2. Step 2: Convert to fraction form
    66,998.34/100,512.09 = 20,250/x
  3. Step 3: Cross multiply
    66,998.34x = 100,512.09 × 20,250
  4. Step 4: Simplify right side
    66,998.34x = 2,035,369,822.50
  5. Step 5: Solve for x
    x = 2,035,369,822.50/66,998.34
  6. Step 6: Final answer
    x = 30,379.41

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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.