Finding the Fourth Proportional to 97,785,468,102.40, 146,678,202,153.60 and 64,312,337,852.80
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Solution
The fourth proportional to 97,785,468,102.40, 146,678,202,153.60 and 64,312,337,852.80 is: 96,468,506,779.20
Step by Step Solution
- Step 1: Write the proportion equation
97,785,468,102.40 : 146,678,202,153.60 = 64,312,337,852.80 : x - Step 2: Convert to fraction form
97,785,468,102.40/146,678,202,153.60 = 64,312,337,852.80/x - Step 3: Cross multiply
97,785,468,102.40x = 146,678,202,153.60 × 64,312,337,852.80 - Step 4: Simplify right side
97,785,468,102.40x = 9,433,218,092,543,620,677,632 - Step 5: Solve for x
x = 9,433,218,092,543,620,677,632/97,785,468,102.40 - Step 6: Final answer
x = 96,468,506,779.20
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1.5x scale
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.