Finding the Fourth Proportional to 75,095,146.80, 112,690,107.12 and 31,964,280.96
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Solution
The fourth proportional to 75,095,146.80, 112,690,107.12 and 31,964,280.96 is: 47,966,591.70
Step by Step Solution
- Step 1: Write the proportion equation
75,095,146.80 : 112,690,107.12 = 31,964,280.96 : x - Step 2: Convert to fraction form
75,095,146.80/112,690,107.12 = 31,964,280.96/x - Step 3: Cross multiply
75,095,146.80x = 112,690,107.12 × 31,964,280.96 - Step 4: Simplify right side
75,095,146.80x = 3,602,058,245,396,176.50 - Step 5: Solve for x
x = 3,602,058,245,396,176.50/75,095,146.80 - Step 6: Final answer
x = 47,966,591.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.