Finding the Fourth Proportional to 180,455,706.72, 249,022,431.98 and 102,137,578.71
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Solution
The fourth proportional to 180,455,706.72, 249,022,431.98 and 102,137,578.71 is: 140,946,211.73
Step by Step Solution
- Step 1: Write the proportion equation
180,455,706.72 : 249,022,431.98 = 102,137,578.71 : x - Step 2: Convert to fraction form
180,455,706.72/249,022,431.98 = 102,137,578.71/x - Step 3: Cross multiply
180,455,706.72x = 249,022,431.98 × 102,137,578.71 - Step 4: Simplify right side
180,455,706.72x = 25,434,548,246,912,868 - Step 5: Solve for x
x = 25,434,548,246,912,868/180,455,706.72 - Step 6: Final answer
x = 140,946,211.73
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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.