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Finding the Fourth Proportional to 71,011, 106,516.50 and 21,763

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Solution

The fourth proportional to 71,011, 106,516.50 and 21,763 is: 32,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,011 : 106,516.50 = 21,763 : x
  2. Step 2: Convert to fraction form
    71,011/106,516.50 = 21,763/x
  3. Step 3: Cross multiply
    71,011x = 106,516.50 × 21,763
  4. Step 4: Simplify right side
    71,011x = 2,318,118,589.50
  5. Step 5: Solve for x
    x = 2,318,118,589.50/71,011
  6. Step 6: Final answer
    x = 32,644.50

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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.