Finding the Fourth Proportional to 158,104,637,278.74, 218,184,399,444.67 and 90,439,227,496.84
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Solution
The fourth proportional to 158,104,637,278.74, 218,184,399,444.67 and 90,439,227,496.84 is: 124,806,133,945.64
Step by Step Solution
- Step 1: Write the proportion equation
158,104,637,278.74 : 218,184,399,444.67 = 90,439,227,496.84 : x - Step 2: Convert to fraction form
158,104,637,278.74/218,184,399,444.67 = 90,439,227,496.84/x - Step 3: Cross multiply
158,104,637,278.74x = 218,184,399,444.67 × 90,439,227,496.84 - Step 4: Simplify right side
158,104,637,278.74x = 19,732,428,537,637,921,357,824 - Step 5: Solve for x
x = 19,732,428,537,637,921,357,824/158,104,637,278.74 - Step 6: Final answer
x = 124,806,133,945.64
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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.