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Finding the Fourth Proportional to 274,104.19, 411,214.91 and 81,993.67

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Solution

The fourth proportional to 274,104.19, 411,214.91 and 81,993.67 is: 123,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,104.19 : 411,214.91 = 81,993.67 : x
  2. Step 2: Convert to fraction form
    274,104.19/411,214.91 = 81,993.67/x
  3. Step 3: Cross multiply
    274,104.19x = 411,214.91 × 81,993.67
  4. Step 4: Simplify right side
    274,104.19x = 33,717,017,573.55
  5. Step 5: Solve for x
    x = 33,717,017,573.55/274,104.19
  6. Step 6: Final answer
    x = 123,008.04

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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.