Finding the Fourth Proportional to 106,596,298.70, 159,894,448.05 and 98,943,548.30
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Solution
The fourth proportional to 106,596,298.70, 159,894,448.05 and 98,943,548.30 is: 148,415,322.45
Step by Step Solution
- Step 1: Write the proportion equation
106,596,298.70 : 159,894,448.05 = 98,943,548.30 : x - Step 2: Convert to fraction form
106,596,298.70/159,894,448.05 = 98,943,548.30/x - Step 3: Cross multiply
106,596,298.70x = 159,894,448.05 × 98,943,548.30 - Step 4: Simplify right side
106,596,298.70x = 15,820,524,043,537,016 - Step 5: Solve for x
x = 15,820,524,043,537,016/106,596,298.70 - Step 6: Final answer
x = 148,415,322.45
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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.