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Finding the Fourth Proportional to 80,488.76, 120,705.80 and 27,885.96

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Solution

The fourth proportional to 80,488.76, 120,705.80 and 27,885.96 is: 41,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488.76 : 120,705.80 = 27,885.96 : x
  2. Step 2: Convert to fraction form
    80,488.76/120,705.80 = 27,885.96/x
  3. Step 3: Cross multiply
    80,488.76x = 120,705.80 × 27,885.96
  4. Step 4: Simplify right side
    80,488.76x = 3,365,996,971.14
  5. Step 5: Solve for x
    x = 3,365,996,971.14/80,488.76
  6. Step 6: Final answer
    x = 41,819.47

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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.