Finding the Fourth Proportional to 97,006,117.80, 145,509,176.70 and 66,395,116.20
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Solution
The fourth proportional to 97,006,117.80, 145,509,176.70 and 66,395,116.20 is: 99,592,674.30
Step by Step Solution
- Step 1: Write the proportion equation
97,006,117.80 : 145,509,176.70 = 66,395,116.20 : x - Step 2: Convert to fraction form
97,006,117.80/145,509,176.70 = 66,395,116.20/x - Step 3: Cross multiply
97,006,117.80x = 145,509,176.70 × 66,395,116.20 - Step 4: Simplify right side
97,006,117.80x = 9,661,098,695,162,832 - Step 5: Solve for x
x = 9,661,098,695,162,832/97,006,117.80 - Step 6: Final answer
x = 99,592,674.30
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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.