Finding the Fourth Proportional to 105,303.44, 157,986.84 and 31,431.44
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Solution
The fourth proportional to 105,303.44, 157,986.84 and 31,431.44 is: 47,156.62
Step by Step Solution
- Step 1: Write the proportion equation
105,303.44 : 157,986.84 = 31,431.44 : x - Step 2: Convert to fraction form
105,303.44/157,986.84 = 31,431.44/x - Step 3: Cross multiply
105,303.44x = 157,986.84 × 31,431.44 - Step 4: Simplify right side
105,303.44x = 4,965,753,882.25 - Step 5: Solve for x
x = 4,965,753,882.25/105,303.44 - Step 6: Final answer
x = 47,156.62
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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.