Finding the Fourth Proportional to 207,980,125,843.04, 311,752,451,533.16 and 87,037,974,127.12
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Solution
The fourth proportional to 207,980,125,843.04, 311,752,451,533.16 and 87,037,974,127.12 is: 130,465,839,948.03
Step by Step Solution
- Step 1: Write the proportion equation
207,980,125,843.04 : 311,752,451,533.16 = 87,037,974,127.12 : x - Step 2: Convert to fraction form
207,980,125,843.04/311,752,451,533.16 = 87,037,974,127.12/x - Step 3: Cross multiply
207,980,125,843.04x = 311,752,451,533.16 × 87,037,974,127.12 - Step 4: Simplify right side
207,980,125,843.04x = 27,134,301,810,609,409,228,800 - Step 5: Solve for x
x = 27,134,301,810,609,409,228,800/207,980,125,843.04 - Step 6: Final answer
x = 130,465,839,948.03
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.