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Finding the Fourth Proportional to 140,738.40, 194,216.40 and 77,074.56

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Solution

The fourth proportional to 140,738.40, 194,216.40 and 77,074.56 is: 106,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,738.40 : 194,216.40 = 77,074.56 : x
  2. Step 2: Convert to fraction form
    140,738.40/194,216.40 = 77,074.56/x
  3. Step 3: Cross multiply
    140,738.40x = 194,216.40 × 77,074.56
  4. Step 4: Simplify right side
    140,738.40x = 14,969,143,574.78
  5. Step 5: Solve for x
    x = 14,969,143,574.78/140,738.40
  6. Step 6: Final answer
    x = 106,361.47

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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.