Finding the Fourth Proportional to 109,537.20, 164,305.80 and 47,207.70
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Solution
The fourth proportional to 109,537.20, 164,305.80 and 47,207.70 is: 70,811.55
Step by Step Solution
- Step 1: Write the proportion equation
109,537.20 : 164,305.80 = 47,207.70 : x - Step 2: Convert to fraction form
109,537.20/164,305.80 = 47,207.70/x - Step 3: Cross multiply
109,537.20x = 164,305.80 × 47,207.70 - Step 4: Simplify right side
109,537.20x = 7,756,498,914.66 - Step 5: Solve for x
x = 7,756,498,914.66/109,537.20 - Step 6: Final answer
x = 70,811.55
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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.