Finding the Fourth Proportional to 255,037.20, 382,701.60 and 97,378.80
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Solution
The fourth proportional to 255,037.20, 382,701.60 and 97,378.80 is: 146,123.87
Step by Step Solution
- Step 1: Write the proportion equation
255,037.20 : 382,701.60 = 97,378.80 : x - Step 2: Convert to fraction form
255,037.20/382,701.60 = 97,378.80/x - Step 3: Cross multiply
255,037.20x = 382,701.60 × 97,378.80 - Step 4: Simplify right side
255,037.20x = 37,267,022,566.08 - Step 5: Solve for x
x = 37,267,022,566.08/255,037.20 - Step 6: Final answer
x = 146,123.87
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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.