Finding the Fourth Proportional to 238,876,365,505.99, 358,312,094,117.05 and 138,083,098,862.20
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Solution
The fourth proportional to 238,876,365,505.99, 358,312,094,117.05 and 138,083,098,862.20 is: 207,123,229,670.23
Step by Step Solution
- Step 1: Write the proportion equation
238,876,365,505.99 : 358,312,094,117.05 = 138,083,098,862.20 : x - Step 2: Convert to fraction form
238,876,365,505.99/358,312,094,117.05 = 138,083,098,862.20/x - Step 3: Cross multiply
238,876,365,505.99x = 358,312,094,117.05 × 138,083,098,862.20 - Step 4: Simplify right side
238,876,365,505.99x = 49,476,844,315,486,529,257,472 - Step 5: Solve for x
x = 49,476,844,315,486,529,257,472/238,876,365,505.99 - Step 6: Final answer
x = 207,123,229,670.23
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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.