Finding the Fourth Proportional to 70,896,824.70, 106,345,237.05 and 40,285,823.10
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Solution
The fourth proportional to 70,896,824.70, 106,345,237.05 and 40,285,823.10 is: 60,428,734.65
Step by Step Solution
- Step 1: Write the proportion equation
70,896,824.70 : 106,345,237.05 = 40,285,823.10 : x - Step 2: Convert to fraction form
70,896,824.70/106,345,237.05 = 40,285,823.10/x - Step 3: Cross multiply
70,896,824.70x = 106,345,237.05 × 40,285,823.10 - Step 4: Simplify right side
70,896,824.70x = 4,284,205,407,323,866 - Step 5: Solve for x
x = 4,284,205,407,323,866/70,896,824.70 - Step 6: Final answer
x = 60,428,734.65
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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.