Finding the Fourth Proportional to 158,104,637,275.87, 218,184,399,440.68 and 90,439,227,493.97
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Solution
The fourth proportional to 158,104,637,275.87, 218,184,399,440.68 and 90,439,227,493.97 is: 124,806,133,941.66
Step by Step Solution
- Step 1: Write the proportion equation
158,104,637,275.87 : 218,184,399,440.68 = 90,439,227,493.97 : x - Step 2: Convert to fraction form
158,104,637,275.87/218,184,399,440.68 = 90,439,227,493.97/x - Step 3: Cross multiply
158,104,637,275.87x = 218,184,399,440.68 × 90,439,227,493.97 - Step 4: Simplify right side
158,104,637,275.87x = 19,732,428,536,649,785,278,464 - Step 5: Solve for x
x = 19,732,428,536,649,785,278,464/158,104,637,275.87 - Step 6: Final answer
x = 124,806,133,941.66
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1.5x scale
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.