Finding the Fourth Proportional to 106,296,305.19, 146,688,900.30 and 57,403,733.19
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Solution
The fourth proportional to 106,296,305.19, 146,688,900.30 and 57,403,733.19 is: 79,217,151.34
Step by Step Solution
- Step 1: Write the proportion equation
106,296,305.19 : 146,688,900.30 = 57,403,733.19 : x - Step 2: Convert to fraction form
106,296,305.19/146,688,900.30 = 57,403,733.19/x - Step 3: Cross multiply
106,296,305.19x = 146,688,900.30 × 57,403,733.19 - Step 4: Simplify right side
106,296,305.19x = 8,420,490,494,755,711 - Step 5: Solve for x
x = 8,420,490,494,755,711/106,296,305.19 - Step 6: Final answer
x = 79,217,151.34
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Double scale
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1.5x scale
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.