Finding the Fourth Proportional to 180,471,857.13, 249,051,478.55 and 97,965,697.77
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Solution
The fourth proportional to 180,471,857.13, 249,051,478.55 and 97,965,697.77 is: 135,192,834.30
Step by Step Solution
- Step 1: Write the proportion equation
180,471,857.13 : 249,051,478.55 = 97,965,697.77 : x - Step 2: Convert to fraction form
180,471,857.13/249,051,478.55 = 97,965,697.77/x - Step 3: Cross multiply
180,471,857.13x = 249,051,478.55 × 97,965,697.77 - Step 4: Simplify right side
180,471,857.13x = 24,398,501,876,311,108 - Step 5: Solve for x
x = 24,398,501,876,311,108/180,471,857.13 - Step 6: Final answer
x = 135,192,834.30
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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.