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Finding the Fourth Proportional to 227,377.28, 313,782.72 and 136,736

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Solution

The fourth proportional to 227,377.28, 313,782.72 and 136,736 is: 188,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,377.28 : 313,782.72 = 136,736 : x
  2. Step 2: Convert to fraction form
    227,377.28/313,782.72 = 136,736/x
  3. Step 3: Cross multiply
    227,377.28x = 313,782.72 × 136,736
  4. Step 4: Simplify right side
    227,377.28x = 42,905,394,001.92
  5. Step 5: Solve for x
    x = 42,905,394,001.92/227,377.28
  6. Step 6: Final answer
    x = 188,696.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.