Finding the Fourth Proportional to 106,257.44, 159,390.56 and 31,377.60
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Solution
The fourth proportional to 106,257.44, 159,390.56 and 31,377.60 is: 47,067.70
Step by Step Solution
- Step 1: Write the proportion equation
106,257.44 : 159,390.56 = 31,377.60 : x - Step 2: Convert to fraction form
106,257.44/159,390.56 = 31,377.60/x - Step 3: Cross multiply
106,257.44x = 159,390.56 × 31,377.60 - Step 4: Simplify right side
106,257.44x = 5,001,293,235.46 - Step 5: Solve for x
x = 5,001,293,235.46/106,257.44 - Step 6: Final answer
x = 47,067.70
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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.