Finding the Fourth Proportional to 180,360,012, 248,897,438.64 and 97,854,163.68
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Solution
The fourth proportional to 180,360,012, 248,897,438.64 and 97,854,163.68 is: 135,039,083.39
Step by Step Solution
- Step 1: Write the proportion equation
180,360,012 : 248,897,438.64 = 97,854,163.68 : x - Step 2: Convert to fraction form
180,360,012/248,897,438.64 = 97,854,163.68/x - Step 3: Cross multiply
180,360,012x = 248,897,438.64 × 97,854,163.68 - Step 4: Simplify right side
180,360,012x = 24,355,650,700,211,316 - Step 5: Solve for x
x = 24,355,650,700,211,316/180,360,012 - Step 6: Final answer
x = 135,039,083.39
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1.5x scale
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.