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Finding the Fourth Proportional to 129,969.69, 194,871.09 and 54,120.74

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Solution

The fourth proportional to 129,969.69, 194,871.09 and 54,120.74 is: 81,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.69 : 194,871.09 = 54,120.74 : x
  2. Step 2: Convert to fraction form
    129,969.69/194,871.09 = 54,120.74/x
  3. Step 3: Cross multiply
    129,969.69x = 194,871.09 × 54,120.74
  4. Step 4: Simplify right side
    129,969.69x = 10,546,566,621.05
  5. Step 5: Solve for x
    x = 10,546,566,621.05/129,969.69
  6. Step 6: Final answer
    x = 81,146.36

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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.