Finding the Fourth Proportional to 102,107.85, 153,161.84 and 31,992.63
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Solution
The fourth proportional to 102,107.85, 153,161.84 and 31,992.63 is: 47,988.97
Step by Step Solution
- Step 1: Write the proportion equation
102,107.85 : 153,161.84 = 31,992.63 : x - Step 2: Convert to fraction form
102,107.85/153,161.84 = 31,992.63/x - Step 3: Cross multiply
102,107.85x = 153,161.84 × 31,992.63 - Step 4: Simplify right side
102,107.85x = 4,900,050,077.24 - Step 5: Solve for x
x = 4,900,050,077.24/102,107.85 - Step 6: Final answer
x = 47,988.97
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1.5x scale
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.