Finding the Fourth Proportional to 102,154,219.49, 140,975,821.49 and 55,747,468.23
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Solution
The fourth proportional to 102,154,219.49, 140,975,821.49 and 55,747,468.23 is: 76,933,142.55
Step by Step Solution
- Step 1: Write the proportion equation
102,154,219.49 : 140,975,821.49 = 55,747,468.23 : x - Step 2: Convert to fraction form
102,154,219.49/140,975,821.49 = 55,747,468.23/x - Step 3: Cross multiply
102,154,219.49x = 140,975,821.49 × 55,747,468.23 - Step 4: Simplify right side
102,154,219.49x = 7,859,045,129,433,189 - Step 5: Solve for x
x = 7,859,045,129,433,189/102,154,219.49 - Step 6: Final answer
x = 76,933,142.55
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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.