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Finding the Fourth Proportional to 193,808.21, 290,756.19 and 67,454.42

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Solution

The fourth proportional to 193,808.21, 290,756.19 and 67,454.42 is: 101,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,808.21 : 290,756.19 = 67,454.42 : x
  2. Step 2: Convert to fraction form
    193,808.21/290,756.19 = 67,454.42/x
  3. Step 3: Cross multiply
    193,808.21x = 290,756.19 × 67,454.42
  4. Step 4: Simplify right side
    193,808.21x = 19,612,790,157.86
  5. Step 5: Solve for x
    x = 19,612,790,157.86/193,808.21
  6. Step 6: Final answer
    x = 101,196.90

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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.