Finding the Fourth Proportional to 138,119,248,062.20, 190,604,857,718.79 and 77,972,217,144.95
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Solution
The fourth proportional to 138,119,248,062.20, 190,604,857,718.79 and 77,972,217,144.95 is: 107,601,826,417.70
Step by Step Solution
- Step 1: Write the proportion equation
138,119,248,062.20 : 190,604,857,718.79 = 77,972,217,144.95 : x - Step 2: Convert to fraction form
138,119,248,062.20/190,604,857,718.79 = 77,972,217,144.95/x - Step 3: Cross multiply
138,119,248,062.20x = 190,604,857,718.79 × 77,972,217,144.95 - Step 4: Simplify right side
138,119,248,062.20x = 14,861,883,354,932,173,602,816 - Step 5: Solve for x
x = 14,861,883,354,932,173,602,816/138,119,248,062.20 - Step 6: Final answer
x = 107,601,826,417.70
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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.