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Finding the Fourth Proportional to 274,172.31, 411,215.94 and 105,771.49

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Solution

The fourth proportional to 274,172.31, 411,215.94 and 105,771.49 is: 158,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,172.31 : 411,215.94 = 105,771.49 : x
  2. Step 2: Convert to fraction form
    274,172.31/411,215.94 = 105,771.49/x
  3. Step 3: Cross multiply
    274,172.31x = 411,215.94 × 105,771.49
  4. Step 4: Simplify right side
    274,172.31x = 43,494,921,657.51
  5. Step 5: Solve for x
    x = 43,494,921,657.51/274,172.31
  6. Step 6: Final answer
    x = 158,640.83

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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.