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Finding the Fourth Proportional to 71,183.80, 106,792.71 and 21,267.96

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Solution

The fourth proportional to 71,183.80, 106,792.71 and 21,267.96 is: 31,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,183.80 : 106,792.71 = 21,267.96 : x
  2. Step 2: Convert to fraction form
    71,183.80/106,792.71 = 21,267.96/x
  3. Step 3: Cross multiply
    71,183.80x = 106,792.71 × 21,267.96
  4. Step 4: Simplify right side
    71,183.80x = 2,271,263,084.57
  5. Step 5: Solve for x
    x = 2,271,263,084.57/71,183.80
  6. Step 6: Final answer
    x = 31,907.02

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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.