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Finding the Fourth Proportional to 196,162.75, 294,287.87 and 71,503.75

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Solution

The fourth proportional to 196,162.75, 294,287.87 and 71,503.75 is: 107,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,162.75 : 294,287.87 = 71,503.75 : x
  2. Step 2: Convert to fraction form
    196,162.75/294,287.87 = 71,503.75/x
  3. Step 3: Cross multiply
    196,162.75x = 294,287.87 × 71,503.75
  4. Step 4: Simplify right side
    196,162.75x = 21,042,686,284.51
  5. Step 5: Solve for x
    x = 21,042,686,284.51/196,162.75
  6. Step 6: Final answer
    x = 107,271.57

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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.