Finding the Fourth Proportional to 75,778,752.32, 113,639,910.24 and 27,243,362.24
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Solution
The fourth proportional to 75,778,752.32, 113,639,910.24 and 27,243,362.24 is: 40,854,898.57
Step by Step Solution
- Step 1: Write the proportion equation
75,778,752.32 : 113,639,910.24 = 27,243,362.24 : x - Step 2: Convert to fraction form
75,778,752.32/113,639,910.24 = 27,243,362.24/x - Step 3: Cross multiply
75,778,752.32x = 113,639,910.24 × 27,243,362.24 - Step 4: Simplify right side
75,778,752.32x = 3,095,933,239,589,405 - Step 5: Solve for x
x = 3,095,933,239,589,405/75,778,752.32 - Step 6: Final answer
x = 40,854,898.57
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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.