Finding the Fourth Proportional to 135,157,917,989.31, 186,518,131,137.45 and 73,358,509,808.06
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Solution
The fourth proportional to 135,157,917,989.31, 186,518,131,137.45 and 73,358,509,808.06 is: 101,234,854,427.91
Step by Step Solution
- Step 1: Write the proportion equation
135,157,917,989.31 : 186,518,131,137.45 = 73,358,509,808.06 : x - Step 2: Convert to fraction form
135,157,917,989.31/186,518,131,137.45 = 73,358,509,808.06/x - Step 3: Cross multiply
135,157,917,989.31x = 186,518,131,137.45 × 73,358,509,808.06 - Step 4: Simplify right side
135,157,917,989.31x = 13,682,692,152,426,714,103,808 - Step 5: Solve for x
x = 13,682,692,152,426,714,103,808/135,157,917,989.31 - Step 6: Final answer
x = 101,234,854,427.91
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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.