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Finding the Fourth Proportional to 140,994.68, 194,571.32 and 77,332.73

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Solution

The fourth proportional to 140,994.68, 194,571.32 and 77,332.73 is: 106,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,994.68 : 194,571.32 = 77,332.73 : x
  2. Step 2: Convert to fraction form
    140,994.68/194,571.32 = 77,332.73/x
  3. Step 3: Cross multiply
    140,994.68x = 194,571.32 × 77,332.73
  4. Step 4: Simplify right side
    140,994.68x = 15,046,729,995.78
  5. Step 5: Solve for x
    x = 15,046,729,995.78/140,994.68
  6. Step 6: Final answer
    x = 106,718.43

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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.