Finding the Fourth Proportional to 189,839,830.44, 261,989,138.06 and 106,202,971.74
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Solution
The fourth proportional to 189,839,830.44, 261,989,138.06 and 106,202,971.74 is: 146,565,791.60
Step by Step Solution
- Step 1: Write the proportion equation
189,839,830.44 : 261,989,138.06 = 106,202,971.74 : x - Step 2: Convert to fraction form
189,839,830.44/261,989,138.06 = 106,202,971.74/x - Step 3: Cross multiply
189,839,830.44x = 261,989,138.06 × 106,202,971.74 - Step 4: Simplify right side
189,839,830.44x = 27,824,025,025,573,136 - Step 5: Solve for x
x = 27,824,025,025,573,136/189,839,830.44 - Step 6: Final answer
x = 146,565,791.60
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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.