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Finding the Fourth Proportional to 277,736, 416,675.04 and 80,744

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Solution

The fourth proportional to 277,736, 416,675.04 and 80,744 is: 121,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,736 : 416,675.04 = 80,744 : x
  2. Step 2: Convert to fraction form
    277,736/416,675.04 = 80,744/x
  3. Step 3: Cross multiply
    277,736x = 416,675.04 × 80,744
  4. Step 4: Simplify right side
    277,736x = 33,644,009,429.76
  5. Step 5: Solve for x
    x = 33,644,009,429.76/277,736
  6. Step 6: Final answer
    x = 121,136.65

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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.