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Finding the Fourth Proportional to 66,871.62, 100,306.68 and 16,270.98

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Solution

The fourth proportional to 66,871.62, 100,306.68 and 16,270.98 is: 24,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,871.62 : 100,306.68 = 16,270.98 : x
  2. Step 2: Convert to fraction form
    66,871.62/100,306.68 = 16,270.98/x
  3. Step 3: Cross multiply
    66,871.62x = 100,306.68 × 16,270.98
  4. Step 4: Simplify right side
    66,871.62x = 1,632,087,984.15
  5. Step 5: Solve for x
    x = 1,632,087,984.15/66,871.62
  6. Step 6: Final answer
    x = 24,406.29

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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.