Finding the Fourth Proportional to 108,101,546.74, 149,180,214.93 and 58,542,305.14
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Solution
The fourth proportional to 108,101,546.74, 149,180,214.93 and 58,542,305.14 is: 80,788,424.65
Step by Step Solution
- Step 1: Write the proportion equation
108,101,546.74 : 149,180,214.93 = 58,542,305.14 : x - Step 2: Convert to fraction form
108,101,546.74/149,180,214.93 = 58,542,305.14/x - Step 3: Cross multiply
108,101,546.74x = 149,180,214.93 × 58,542,305.14 - Step 4: Simplify right side
108,101,546.74x = 8,733,353,663,282,844 - Step 5: Solve for x
x = 8,733,353,663,282,844/108,101,546.74 - Step 6: Final answer
x = 80,788,424.65
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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.