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Finding the Fourth Proportional to 129,958.79, 194,962.49 and 41,188.46

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Solution

The fourth proportional to 129,958.79, 194,962.49 and 41,188.46 is: 61,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,958.79 : 194,962.49 = 41,188.46 : x
  2. Step 2: Convert to fraction form
    129,958.79/194,962.49 = 41,188.46/x
  3. Step 3: Cross multiply
    129,958.79x = 194,962.49 × 41,188.46
  4. Step 4: Simplify right side
    129,958.79x = 8,030,204,720.87
  5. Step 5: Solve for x
    x = 8,030,204,720.87/129,958.79
  6. Step 6: Final answer
    x = 61,790.39

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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.