Finding the Fourth Proportional to 83,827,981.68, 115,682,419.80 and 47,158,542.96
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Solution
The fourth proportional to 83,827,981.68, 115,682,419.80 and 47,158,542.96 is: 65,078,679.63
Step by Step Solution
- Step 1: Write the proportion equation
83,827,981.68 : 115,682,419.80 = 47,158,542.96 : x - Step 2: Convert to fraction form
83,827,981.68/115,682,419.80 = 47,158,542.96/x - Step 3: Cross multiply
83,827,981.68x = 115,682,419.80 × 47,158,542.96 - Step 4: Simplify right side
83,827,981.68x = 5,455,414,363,855,055 - Step 5: Solve for x
x = 5,455,414,363,855,055/83,827,981.68 - Step 6: Final answer
x = 65,078,679.63
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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.