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Finding the Fourth Proportional to 140,745.94, 194,229.39 and 77,086.01

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Solution

The fourth proportional to 140,745.94, 194,229.39 and 77,086.01 is: 106,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,745.94 : 194,229.39 = 77,086.01 : x
  2. Step 2: Convert to fraction form
    140,745.94/194,229.39 = 77,086.01/x
  3. Step 3: Cross multiply
    140,745.94x = 194,229.39 × 77,086.01
  4. Step 4: Simplify right side
    140,745.94x = 14,972,369,474.48
  5. Step 5: Solve for x
    x = 14,972,369,474.48/140,745.94
  6. Step 6: Final answer
    x = 106,378.70

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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.