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Finding the Fourth Proportional to 80,476.85, 120,736.82 and 27,886.34

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Solution

The fourth proportional to 80,476.85, 120,736.82 and 27,886.34 is: 41,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,476.85 : 120,736.82 = 27,886.34 : x
  2. Step 2: Convert to fraction form
    80,476.85/120,736.82 = 27,886.34/x
  3. Step 3: Cross multiply
    80,476.85x = 120,736.82 × 27,886.34
  4. Step 4: Simplify right side
    80,476.85x = 3,366,908,175.45
  5. Step 5: Solve for x
    x = 3,366,908,175.45/80,476.85
  6. Step 6: Final answer
    x = 41,836.98

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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.