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Finding the Fourth Proportional to 129,741.20, 194,458.20 and 54,861.20

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Solution

The fourth proportional to 129,741.20, 194,458.20 and 54,861.20 is: 82,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,741.20 : 194,458.20 = 54,861.20 : x
  2. Step 2: Convert to fraction form
    129,741.20/194,458.20 = 54,861.20/x
  3. Step 3: Cross multiply
    129,741.20x = 194,458.20 × 54,861.20
  4. Step 4: Simplify right side
    129,741.20x = 10,668,210,201.84
  5. Step 5: Solve for x
    x = 10,668,210,201.84/129,741.20
  6. Step 6: Final answer
    x = 82,226.85

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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.