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Finding the Fourth Proportional to 71,269.56, 106,907.22 and 31,819.32

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Solution

The fourth proportional to 71,269.56, 106,907.22 and 31,819.32 is: 47,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,269.56 : 106,907.22 = 31,819.32 : x
  2. Step 2: Convert to fraction form
    71,269.56/106,907.22 = 31,819.32/x
  3. Step 3: Cross multiply
    71,269.56x = 106,907.22 × 31,819.32
  4. Step 4: Simplify right side
    71,269.56x = 3,401,715,043.49
  5. Step 5: Solve for x
    x = 3,401,715,043.49/71,269.56
  6. Step 6: Final answer
    x = 47,730.27

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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.