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Finding the Fourth Proportional to 209,609.82, 289,212.36 and 118,945.32

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Solution

The fourth proportional to 209,609.82, 289,212.36 and 118,945.32 is: 164,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,609.82 : 289,212.36 = 118,945.32 : x
  2. Step 2: Convert to fraction form
    209,609.82/289,212.36 = 118,945.32/x
  3. Step 3: Cross multiply
    209,609.82x = 289,212.36 × 118,945.32
  4. Step 4: Simplify right side
    209,609.82x = 34,400,456,708.16
  5. Step 5: Solve for x
    x = 34,400,456,708.16/209,609.82
  6. Step 6: Final answer
    x = 164,116.63

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1.5x scale

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.