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Finding the Fourth Proportional to 200,890.19, 301,336.34 and 67,771.62

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Solution

The fourth proportional to 200,890.19, 301,336.34 and 67,771.62 is: 101,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,890.19 : 301,336.34 = 67,771.62 : x
  2. Step 2: Convert to fraction form
    200,890.19/301,336.34 = 67,771.62/x
  3. Step 3: Cross multiply
    200,890.19x = 301,336.34 × 67,771.62
  4. Step 4: Simplify right side
    200,890.19x = 20,422,051,587.81
  5. Step 5: Solve for x
    x = 20,422,051,587.81/200,890.19
  6. Step 6: Final answer
    x = 101,657.78

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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.