Finding the Fourth Proportional to 102,239,468,313.80, 153,359,202,470.70 and 84,825,209,625.80
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Solution
The fourth proportional to 102,239,468,313.80, 153,359,202,470.70 and 84,825,209,625.80 is: 127,237,814,438.70
Step by Step Solution
- Step 1: Write the proportion equation
102,239,468,313.80 : 153,359,202,470.70 = 84,825,209,625.80 : x - Step 2: Convert to fraction form
102,239,468,313.80/153,359,202,470.70 = 84,825,209,625.80/x - Step 3: Cross multiply
102,239,468,313.80x = 153,359,202,470.70 × 84,825,209,625.80 - Step 4: Simplify right side
102,239,468,313.80x = 13,008,726,497,622,633,742,336 - Step 5: Solve for x
x = 13,008,726,497,622,633,742,336/102,239,468,313.80 - Step 6: Final answer
x = 127,237,814,438.70
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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.