Finding the Fourth Proportional to 140,768.84, 194,261.09 and 77,107.70
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Solution
The fourth proportional to 140,768.84, 194,261.09 and 77,107.70 is: 106,408.67
Step by Step Solution
- Step 1: Write the proportion equation
140,768.84 : 194,261.09 = 77,107.70 : x - Step 2: Convert to fraction form
140,768.84/194,261.09 = 77,107.70/x - Step 3: Cross multiply
140,768.84x = 194,261.09 × 77,107.70 - Step 4: Simplify right side
140,768.84x = 14,979,025,949.51 - Step 5: Solve for x
x = 14,979,025,949.51/140,768.84 - Step 6: Final answer
x = 106,408.67
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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.