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Finding the Fourth Proportional to 80,461.76, 120,665.30 and 27,858.94

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Solution

The fourth proportional to 80,461.76, 120,665.30 and 27,858.94 is: 41,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,461.76 : 120,665.30 = 27,858.94 : x
  2. Step 2: Convert to fraction form
    80,461.76/120,665.30 = 27,858.94/x
  3. Step 3: Cross multiply
    80,461.76x = 120,665.30 × 27,858.94
  4. Step 4: Simplify right side
    80,461.76x = 3,361,606,911.82
  5. Step 5: Solve for x
    x = 3,361,606,911.82/80,461.76
  6. Step 6: Final answer
    x = 41,778.94

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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.