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Finding the Fourth Proportional to 70,745.95, 106,082.40 and 20,819.56

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Solution

The fourth proportional to 70,745.95, 106,082.40 and 20,819.56 is: 31,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,745.95 : 106,082.40 = 20,819.56 : x
  2. Step 2: Convert to fraction form
    70,745.95/106,082.40 = 20,819.56/x
  3. Step 3: Cross multiply
    70,745.95x = 106,082.40 × 20,819.56
  4. Step 4: Simplify right side
    70,745.95x = 2,208,588,891.74
  5. Step 5: Solve for x
    x = 2,208,588,891.74/70,745.95
  6. Step 6: Final answer
    x = 31,218.59

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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.