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Finding the Fourth Proportional to 209,347.63, 313,879.30 and 106,512.22

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Solution

The fourth proportional to 209,347.63, 313,879.30 and 106,512.22 is: 159,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,347.63 : 313,879.30 = 106,512.22 : x
  2. Step 2: Convert to fraction form
    209,347.63/313,879.30 = 106,512.22/x
  3. Step 3: Cross multiply
    209,347.63x = 313,879.30 × 106,512.22
  4. Step 4: Simplify right side
    209,347.63x = 33,431,981,055.05
  5. Step 5: Solve for x
    x = 33,431,981,055.05/209,347.63
  6. Step 6: Final answer
    x = 159,696.01

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1.5x scale

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.