Finding the Fourth Proportional to 107,506,821.20, 161,260,231.80 and 105,715,230.80
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Solution
The fourth proportional to 107,506,821.20, 161,260,231.80 and 105,715,230.80 is: 158,572,846.20
Step by Step Solution
- Step 1: Write the proportion equation
107,506,821.20 : 161,260,231.80 = 105,715,230.80 : x - Step 2: Convert to fraction form
107,506,821.20/161,260,231.80 = 105,715,230.80/x - Step 3: Cross multiply
107,506,821.20x = 161,260,231.80 × 105,715,230.80 - Step 4: Simplify right side
107,506,821.20x = 17,047,662,623,598,500 - Step 5: Solve for x
x = 17,047,662,623,598,500/107,506,821.20 - Step 6: Final answer
x = 158,572,846.20
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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.