Finding the Fourth Proportional to 189,286,589.48, 261,216,280.42 and 102,366,461.48
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Solution
The fourth proportional to 189,286,589.48, 261,216,280.42 and 102,366,461.48 is: 141,266,142.42
Step by Step Solution
- Step 1: Write the proportion equation
189,286,589.48 : 261,216,280.42 = 102,366,461.48 : x - Step 2: Convert to fraction form
189,286,589.48/261,216,280.42 = 102,366,461.48/x - Step 3: Cross multiply
189,286,589.48x = 261,216,280.42 × 102,366,461.48 - Step 4: Simplify right side
189,286,589.48x = 26,739,786,307,562,808 - Step 5: Solve for x
x = 26,739,786,307,562,808/189,286,589.48 - Step 6: Final answer
x = 141,266,142.42
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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.