Finding the Fourth Proportional to 78,178,738.36, 107,841,835.38 and 48,758,994.76
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Solution
The fourth proportional to 78,178,738.36, 107,841,835.38 and 48,758,994.76 is: 67,259,456.94
Step by Step Solution
- Step 1: Write the proportion equation
78,178,738.36 : 107,841,835.38 = 48,758,994.76 : x - Step 2: Convert to fraction form
78,178,738.36/107,841,835.38 = 48,758,994.76/x - Step 3: Cross multiply
78,178,738.36x = 107,841,835.38 × 48,758,994.76 - Step 4: Simplify right side
78,178,738.36x = 5,258,259,486,202,202 - Step 5: Solve for x
x = 5,258,259,486,202,202/78,178,738.36 - Step 6: Final answer
x = 67,259,456.94
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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.