Finding the Fourth Proportional to 261,721,359,511.66, 392,701,323,359.02 and 134,325,514,070.75
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Solution
The fourth proportional to 261,721,359,511.66, 392,701,323,359.02 and 134,325,514,070.75 is: 201,549,492,310.79
Step by Step Solution
- Step 1: Write the proportion equation
261,721,359,511.66 : 392,701,323,359.02 = 134,325,514,070.75 : x - Step 2: Convert to fraction form
261,721,359,511.66/392,701,323,359.02 = 134,325,514,070.75/x - Step 3: Cross multiply
261,721,359,511.66x = 392,701,323,359.02 × 134,325,514,070.75 - Step 4: Simplify right side
261,721,359,511.66x = 52,749,807,136,464,191,881,216 - Step 5: Solve for x
x = 52,749,807,136,464,191,881,216/261,721,359,511.66 - Step 6: Final answer
x = 201,549,492,310.79
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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.