Finding the Fourth Proportional to 136,113,781,750.91, 187,921,789,760.05 and 86,646,324,138.12
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Solution
The fourth proportional to 136,113,781,750.91, 187,921,789,760.05 and 86,646,324,138.12 is: 119,625,890,183.28
Step by Step Solution
- Step 1: Write the proportion equation
136,113,781,750.91 : 187,921,789,760.05 = 86,646,324,138.12 : x - Step 2: Convert to fraction form
136,113,781,750.91/187,921,789,760.05 = 86,646,324,138.12/x - Step 3: Cross multiply
136,113,781,750.91x = 187,921,789,760.05 × 86,646,324,138.12 - Step 4: Simplify right side
136,113,781,750.91x = 16,282,732,308,164,931,223,552 - Step 5: Solve for x
x = 16,282,732,308,164,931,223,552/136,113,781,750.91 - Step 6: Final answer
x = 119,625,890,183.28
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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.