Finding the Fourth Proportional to 180,576,974.88, 249,211,593.90 and 102,274,458.12
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Solution
The fourth proportional to 180,576,974.88, 249,211,593.90 and 102,274,458.12 is: 141,147,456.59
Step by Step Solution
- Step 1: Write the proportion equation
180,576,974.88 : 249,211,593.90 = 102,274,458.12 : x - Step 2: Convert to fraction form
180,576,974.88/249,211,593.90 = 102,274,458.12/x - Step 3: Cross multiply
180,576,974.88x = 249,211,593.90 × 102,274,458.12 - Step 4: Simplify right side
180,576,974.88x = 25,487,980,723,344,000 - Step 5: Solve for x
x = 25,487,980,723,344,000/180,576,974.88 - Step 6: Final answer
x = 141,147,456.59
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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.