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Finding the Fourth Proportional to 239,112, 329,974.56 and 133,128

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Solution

The fourth proportional to 239,112, 329,974.56 and 133,128 is: 183,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,112 : 329,974.56 = 133,128 : x
  2. Step 2: Convert to fraction form
    239,112/329,974.56 = 133,128/x
  3. Step 3: Cross multiply
    239,112x = 329,974.56 × 133,128
  4. Step 4: Simplify right side
    239,112x = 43,928,853,223.68
  5. Step 5: Solve for x
    x = 43,928,853,223.68/239,112
  6. Step 6: Final answer
    x = 183,716.64

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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.