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Finding the Fourth Proportional to 129,878.47, 194,798.22 and 41,120.47

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Solution

The fourth proportional to 129,878.47, 194,798.22 and 41,120.47 is: 61,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,878.47 : 194,798.22 = 41,120.47 : x
  2. Step 2: Convert to fraction form
    129,878.47/194,798.22 = 41,120.47/x
  3. Step 3: Cross multiply
    129,878.47x = 194,798.22 × 41,120.47
  4. Step 4: Simplify right side
    129,878.47x = 8,010,194,361.56
  5. Step 5: Solve for x
    x = 8,010,194,361.56/129,878.47
  6. Step 6: Final answer
    x = 61,674.54

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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.