Finding the Fourth Proportional to 120,180,431.70, 180,476,948.36 and 73,766,465.02
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Solution
The fourth proportional to 120,180,431.70, 180,476,948.36 and 73,766,465.02 is: 110,776,324.48
Step by Step Solution
- Step 1: Write the proportion equation
120,180,431.70 : 180,476,948.36 = 73,766,465.02 : x - Step 2: Convert to fraction form
120,180,431.70/180,476,948.36 = 73,766,465.02/x - Step 3: Cross multiply
120,180,431.70x = 180,476,948.36 × 73,766,465.02 - Step 4: Simplify right side
120,180,431.70x = 13,313,146,497,847,510 - Step 5: Solve for x
x = 13,313,146,497,847,510/120,180,431.70 - Step 6: Final answer
x = 110,776,324.48
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.