Finding the Fourth Proportional to 209,951.98, 314,780.34 and 97,512.84
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Solution
The fourth proportional to 209,951.98, 314,780.34 and 97,512.84 is: 146,200.69
Step by Step Solution
- Step 1: Write the proportion equation
209,951.98 : 314,780.34 = 97,512.84 : x - Step 2: Convert to fraction form
209,951.98/314,780.34 = 97,512.84/x - Step 3: Cross multiply
209,951.98x = 314,780.34 × 97,512.84 - Step 4: Simplify right side
209,951.98x = 30,695,124,929.57 - Step 5: Solve for x
x = 30,695,124,929.57/209,951.98 - Step 6: Final answer
x = 146,200.69
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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.