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Finding the Fourth Proportional to 201,594.78, 278,085.08 and 126,012.06

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Solution

The fourth proportional to 201,594.78, 278,085.08 and 126,012.06 is: 173,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,594.78 : 278,085.08 = 126,012.06 : x
  2. Step 2: Convert to fraction form
    201,594.78/278,085.08 = 126,012.06/x
  3. Step 3: Cross multiply
    201,594.78x = 278,085.08 × 126,012.06
  4. Step 4: Simplify right side
    201,594.78x = 35,042,073,786.06
  5. Step 5: Solve for x
    x = 35,042,073,786.06/201,594.78
  6. Step 6: Final answer
    x = 173,824.31

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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.