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Finding the Fourth Proportional to 117,821.92, 162,641.64 and 80,119.12

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Solution

The fourth proportional to 117,821.92, 162,641.64 and 80,119.12 is: 110,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,821.92 : 162,641.64 = 80,119.12 : x
  2. Step 2: Convert to fraction form
    117,821.92/162,641.64 = 80,119.12/x
  3. Step 3: Cross multiply
    117,821.92x = 162,641.64 × 80,119.12
  4. Step 4: Simplify right side
    117,821.92x = 13,030,705,072.16
  5. Step 5: Solve for x
    x = 13,030,705,072.16/117,821.92
  6. Step 6: Final answer
    x = 110,596.61

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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.