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Finding the Fourth Proportional to 80,488.63, 120,705.61 and 27,885.84

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Solution

The fourth proportional to 80,488.63, 120,705.61 and 27,885.84 is: 41,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488.63 : 120,705.61 = 27,885.84 : x
  2. Step 2: Convert to fraction form
    80,488.63/120,705.61 = 27,885.84/x
  3. Step 3: Cross multiply
    80,488.63x = 120,705.61 × 27,885.84
  4. Step 4: Simplify right side
    80,488.63x = 3,365,976,584.61
  5. Step 5: Solve for x
    x = 3,365,976,584.61/80,488.63
  6. Step 6: Final answer
    x = 41,819.28

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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.