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Finding the Fourth Proportional to 219,858.12, 329,806.62 and 119,975.40

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Solution

The fourth proportional to 219,858.12, 329,806.62 and 119,975.40 is: 179,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,858.12 : 329,806.62 = 119,975.40 : x
  2. Step 2: Convert to fraction form
    219,858.12/329,806.62 = 119,975.40/x
  3. Step 3: Cross multiply
    219,858.12x = 329,806.62 × 119,975.40
  4. Step 4: Simplify right side
    219,858.12x = 39,568,681,157.15
  5. Step 5: Solve for x
    x = 39,568,681,157.15/219,858.12
  6. Step 6: Final answer
    x = 179,973.71

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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.