Finding the Fourth Proportional to 102,205,997.29, 141,043,558.74 and 55,796,251.21
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Solution
The fourth proportional to 102,205,997.29, 141,043,558.74 and 55,796,251.21 is: 76,998,434.96
Step by Step Solution
- Step 1: Write the proportion equation
102,205,997.29 : 141,043,558.74 = 55,796,251.21 : x - Step 2: Convert to fraction form
102,205,997.29/141,043,558.74 = 55,796,251.21/x - Step 3: Cross multiply
102,205,997.29x = 141,043,558.74 × 55,796,251.21 - Step 4: Simplify right side
102,205,997.29x = 7,869,701,834,683,046 - Step 5: Solve for x
x = 7,869,701,834,683,046/102,205,997.29 - Step 6: Final answer
x = 76,998,434.96
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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.