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Finding the Fourth Proportional to 77,409, 106,847.22 and 50,555.64

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Solution

The fourth proportional to 77,409, 106,847.22 and 50,555.64 is: 69,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409 : 106,847.22 = 50,555.64 : x
  2. Step 2: Convert to fraction form
    77,409/106,847.22 = 50,555.64/x
  3. Step 3: Cross multiply
    77,409x = 106,847.22 × 50,555.64
  4. Step 4: Simplify right side
    77,409x = 5,401,729,589.32
  5. Step 5: Solve for x
    x = 5,401,729,589.32/77,409
  6. Step 6: Final answer
    x = 69,781.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.