Finding the Fourth Proportional to 209,134.14, 313,727.94 and 76,077.06
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Solution
The fourth proportional to 209,134.14, 313,727.94 and 76,077.06 is: 114,125.31
Step by Step Solution
- Step 1: Write the proportion equation
209,134.14 : 313,727.94 = 76,077.06 : x - Step 2: Convert to fraction form
209,134.14/313,727.94 = 76,077.06/x - Step 3: Cross multiply
209,134.14x = 313,727.94 × 76,077.06 - Step 4: Simplify right side
209,134.14x = 23,867,499,315.06 - Step 5: Solve for x
x = 23,867,499,315.06/209,134.14 - Step 6: Final answer
x = 114,125.31
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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.