Finding the Fourth Proportional to 189,839,827.45, 261,989,133.93 and 106,202,968.74
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Solution
The fourth proportional to 189,839,827.45, 261,989,133.93 and 106,202,968.74 is: 146,565,787.45
Step by Step Solution
- Step 1: Write the proportion equation
189,839,827.45 : 261,989,133.93 = 106,202,968.74 : x - Step 2: Convert to fraction form
189,839,827.45/261,989,133.93 = 106,202,968.74/x - Step 3: Cross multiply
189,839,827.45x = 261,989,133.93 × 106,202,968.74 - Step 4: Simplify right side
189,839,827.45x = 27,824,023,799,951,780 - Step 5: Solve for x
x = 27,824,023,799,951,780/189,839,827.45 - Step 6: Final answer
x = 146,565,787.45
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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.