Finding the Fourth Proportional to 189,224,370.24, 261,113,990.40 and 106,738,428.48
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Solution
The fourth proportional to 189,224,370.24, 261,113,990.40 and 106,738,428.48 is: 147,290,208.73
Step by Step Solution
- Step 1: Write the proportion equation
189,224,370.24 : 261,113,990.40 = 106,738,428.48 : x - Step 2: Convert to fraction form
189,224,370.24/261,113,990.40 = 106,738,428.48/x - Step 3: Cross multiply
189,224,370.24x = 261,113,990.40 × 106,738,428.48 - Step 4: Simplify right side
189,224,370.24x = 27,870,896,989,437,808 - Step 5: Solve for x
x = 27,870,896,989,437,808/189,224,370.24 - Step 6: Final answer
x = 147,290,208.73
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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.