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Finding the Fourth Proportional to 66,834, 100,251 and 20,086.92

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Solution

The fourth proportional to 66,834, 100,251 and 20,086.92 is: 30,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834 : 100,251 = 20,086.92 : x
  2. Step 2: Convert to fraction form
    66,834/100,251 = 20,086.92/x
  3. Step 3: Cross multiply
    66,834x = 100,251 × 20,086.92
  4. Step 4: Simplify right side
    66,834x = 2,013,733,816.92
  5. Step 5: Solve for x
    x = 2,013,733,816.92/66,834
  6. Step 6: Final answer
    x = 30,130.38

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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.