Finding the Fourth Proportional to 97,785,145,812.10, 146,677,718,718.15 and 97,165,273,029.70
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Solution
The fourth proportional to 97,785,145,812.10, 146,677,718,718.15 and 97,165,273,029.70 is: 145,747,909,544.55
Step by Step Solution
- Step 1: Write the proportion equation
97,785,145,812.10 : 146,677,718,718.15 = 97,165,273,029.70 : x - Step 2: Convert to fraction form
97,785,145,812.10/146,677,718,718.15 = 97,165,273,029.70/x - Step 3: Cross multiply
97,785,145,812.10x = 146,677,718,718.15 × 97,165,273,029.70 - Step 4: Simplify right side
97,785,145,812.10x = 14,251,980,586,622,581,211,136 - Step 5: Solve for x
x = 14,251,980,586,622,581,211,136/97,785,145,812.10 - Step 6: Final answer
x = 145,747,909,544.55
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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.