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Finding the Fourth Proportional to 140,642.55, 194,086.40 and 76,979.79

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Solution

The fourth proportional to 140,642.55, 194,086.40 and 76,979.79 is: 106,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,642.55 : 194,086.40 = 76,979.79 : x
  2. Step 2: Convert to fraction form
    140,642.55/194,086.40 = 76,979.79/x
  3. Step 3: Cross multiply
    140,642.55x = 194,086.40 × 76,979.79
  4. Step 4: Simplify right side
    140,642.55x = 14,940,729,928.96
  5. Step 5: Solve for x
    x = 14,940,729,928.96/140,642.55
  6. Step 6: Final answer
    x = 106,231.93

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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.