Finding the Fourth Proportional to 158,104,128,864.16, 218,177,578,454.24 and 85,844,539,847.36
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Solution
The fourth proportional to 158,104,128,864.16, 218,177,578,454.24 and 85,844,539,847.36 is: 118,462,142,399.25
Step by Step Solution
- Step 1: Write the proportion equation
158,104,128,864.16 : 218,177,578,454.24 = 85,844,539,847.36 : x - Step 2: Convert to fraction form
158,104,128,864.16/218,177,578,454.24 = 85,844,539,847.36/x - Step 3: Cross multiply
158,104,128,864.16x = 218,177,578,454.24 × 85,844,539,847.36 - Step 4: Simplify right side
158,104,128,864.16x = 18,729,353,827,415,517,822,976 - Step 5: Solve for x
x = 18,729,353,827,415,517,822,976/158,104,128,864.16 - Step 6: Final answer
x = 118,462,142,399.25
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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.