Finding the Fourth Proportional to 149,517,882,705.97, 206,334,688,219.62 and 81,852,472,924.05
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Solution
The fourth proportional to 149,517,882,705.97, 206,334,688,219.62 and 81,852,472,924.05 is: 112,956,418,156.36
Step by Step Solution
- Step 1: Write the proportion equation
149,517,882,705.97 : 206,334,688,219.62 = 81,852,472,924.05 : x - Step 2: Convert to fraction form
149,517,882,705.97/206,334,688,219.62 = 81,852,472,924.05/x - Step 3: Cross multiply
149,517,882,705.97x = 206,334,688,219.62 × 81,852,472,924.05 - Step 4: Simplify right side
149,517,882,705.97x = 16,889,004,480,789,361,983,488 - Step 5: Solve for x
x = 16,889,004,480,789,361,983,488/149,517,882,705.97 - Step 6: Final answer
x = 112,956,418,156.36
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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.