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Finding the Fourth Proportional to 129,659.45, 194,489.20 and 40,919.90

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Solution

The fourth proportional to 129,659.45, 194,489.20 and 40,919.90 is: 61,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,659.45 : 194,489.20 = 40,919.90 : x
  2. Step 2: Convert to fraction form
    129,659.45/194,489.20 = 40,919.90/x
  3. Step 3: Cross multiply
    129,659.45x = 194,489.20 × 40,919.90
  4. Step 4: Simplify right side
    129,659.45x = 7,958,477,693.78
  5. Step 5: Solve for x
    x = 7,958,477,693.78/129,659.45
  6. Step 6: Final answer
    x = 61,379.85

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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.