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Finding the Fourth Proportional to 129,900, 194,855.67 and 41,160.05

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Solution

The fourth proportional to 129,900, 194,855.67 and 41,160.05 is: 61,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,900 : 194,855.67 = 41,160.05 : x
  2. Step 2: Convert to fraction form
    129,900/194,855.67 = 41,160.05/x
  3. Step 3: Cross multiply
    129,900x = 194,855.67 × 41,160.05
  4. Step 4: Simplify right side
    129,900x = 8,020,268,145.71
  5. Step 5: Solve for x
    x = 8,020,268,145.71/129,900
  6. Step 6: Final answer
    x = 61,741.86

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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.