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Finding the Fourth Proportional to 80,476.81, 120,736.73 and 27,886.30

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Solution

The fourth proportional to 80,476.81, 120,736.73 and 27,886.30 is: 41,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,476.81 : 120,736.73 = 27,886.30 : x
  2. Step 2: Convert to fraction form
    80,476.81/120,736.73 = 27,886.30/x
  3. Step 3: Cross multiply
    80,476.81x = 120,736.73 × 27,886.30
  4. Step 4: Simplify right side
    80,476.81x = 3,366,900,441.67
  5. Step 5: Solve for x
    x = 3,366,900,441.67/80,476.81
  6. Step 6: Final answer
    x = 41,836.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.