Finding the Fourth Proportional to 158,525,209,097.68, 218,764,824,264.14 and 87,239,839,121.68
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Solution
The fourth proportional to 158,525,209,097.68, 218,764,824,264.14 and 87,239,839,121.68 is: 120,390,997,639.54
Step by Step Solution
- Step 1: Write the proportion equation
158,525,209,097.68 : 218,764,824,264.14 = 87,239,839,121.68 : x - Step 2: Convert to fraction form
158,525,209,097.68/218,764,824,264.14 = 87,239,839,121.68/x - Step 3: Cross multiply
158,525,209,097.68x = 218,764,824,264.14 × 87,239,839,121.68 - Step 4: Simplify right side
158,525,209,097.68x = 19,085,008,074,286,169,063,424 - Step 5: Solve for x
x = 19,085,008,074,286,169,063,424/158,525,209,097.68 - Step 6: Final answer
x = 120,390,997,639.54
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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.