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Finding the Fourth Proportional to 141,029.85, 194,617.85 and 77,367.09

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Solution

The fourth proportional to 141,029.85, 194,617.85 and 77,367.09 is: 106,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,029.85 : 194,617.85 = 77,367.09 : x
  2. Step 2: Convert to fraction form
    141,029.85/194,617.85 = 77,367.09/x
  3. Step 3: Cross multiply
    141,029.85x = 194,617.85 × 77,367.09
  4. Step 4: Simplify right side
    141,029.85x = 15,057,016,329.72
  5. Step 5: Solve for x
    x = 15,057,016,329.72/141,029.85
  6. Step 6: Final answer
    x = 106,764.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.