Finding the Fourth Proportional to 102,891,354,334.84, 154,319,913,204.18 and 31,163,814,921.70
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Solution
The fourth proportional to 102,891,354,334.84, 154,319,913,204.18 and 31,163,814,921.70 is: 46,740,537,578.86
Step by Step Solution
- Step 1: Write the proportion equation
102,891,354,334.84 : 154,319,913,204.18 = 31,163,814,921.70 : x - Step 2: Convert to fraction form
102,891,354,334.84/154,319,913,204.18 = 31,163,814,921.70/x - Step 3: Cross multiply
102,891,354,334.84x = 154,319,913,204.18 × 31,163,814,921.70 - Step 4: Simplify right side
102,891,354,334.84x = 4,809,197,213,827,873,112,064 - Step 5: Solve for x
x = 4,809,197,213,827,873,112,064/102,891,354,334.84 - Step 6: Final answer
x = 46,740,537,578.86
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.