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Finding the Fourth Proportional to 140,380.64, 193,738.64 and 76,728.01

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Solution

The fourth proportional to 140,380.64, 193,738.64 and 76,728.01 is: 105,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,380.64 : 193,738.64 = 76,728.01 : x
  2. Step 2: Convert to fraction form
    140,380.64/193,738.64 = 76,728.01/x
  3. Step 3: Cross multiply
    140,380.64x = 193,738.64 × 76,728.01
  4. Step 4: Simplify right side
    140,380.64x = 14,865,180,014.78
  5. Step 5: Solve for x
    x = 14,865,180,014.78/140,380.64
  6. Step 6: Final answer
    x = 105,891.95

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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.