Finding the Fourth Proportional to 159,450,307,461.12, 219,937,743,502.56 and 102,267,043,284
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Solution
The fourth proportional to 159,450,307,461.12, 219,937,743,502.56 and 102,267,043,284 is: 141,062,021,721.38
Step by Step Solution
- Step 1: Write the proportion equation
159,450,307,461.12 : 219,937,743,502.56 = 102,267,043,284 : x - Step 2: Convert to fraction form
159,450,307,461.12/219,937,743,502.56 = 102,267,043,284/x - Step 3: Cross multiply
159,450,307,461.12x = 219,937,743,502.56 × 102,267,043,284 - Step 4: Simplify right side
159,450,307,461.12x = 22,492,382,734,561,593,786,368 - Step 5: Solve for x
x = 22,492,382,734,561,593,786,368/159,450,307,461.12 - Step 6: Final answer
x = 141,062,021,721.38
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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.