Finding the Fourth Proportional to 187,289,994,965.49, 258,415,894,635.53 and 105,999,817,888.44
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Solution
The fourth proportional to 187,289,994,965.49, 258,415,894,635.53 and 105,999,817,888.44 is: 146,254,677,276.76
Step by Step Solution
- Step 1: Write the proportion equation
187,289,994,965.49 : 258,415,894,635.53 = 105,999,817,888.44 : x - Step 2: Convert to fraction form
187,289,994,965.49/258,415,894,635.53 = 105,999,817,888.44/x - Step 3: Cross multiply
187,289,994,965.49x = 258,415,894,635.53 × 105,999,817,888.44 - Step 4: Simplify right side
187,289,994,965.49x = 27,392,037,770,844,478,373,888 - Step 5: Solve for x
x = 27,392,037,770,844,478,373,888/187,289,994,965.49 - Step 6: Final answer
x = 146,254,677,276.76
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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.