Finding the Fourth Proportional to 195,711.84, 270,075.12 and 106,285.92
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Solution
The fourth proportional to 195,711.84, 270,075.12 and 106,285.92 is: 146,670.65
Step by Step Solution
- Step 1: Write the proportion equation
195,711.84 : 270,075.12 = 106,285.92 : x - Step 2: Convert to fraction form
195,711.84/270,075.12 = 106,285.92/x - Step 3: Cross multiply
195,711.84x = 270,075.12 × 106,285.92 - Step 4: Simplify right side
195,711.84x = 28,705,182,598.31 - Step 5: Solve for x
x = 28,705,182,598.31/195,711.84 - Step 6: Final answer
x = 146,670.65
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.