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Finding the Fourth Proportional to 81,820, 122,716.32 and 22,661.64

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Solution

The fourth proportional to 81,820, 122,716.32 and 22,661.64 is: 33,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,820 : 122,716.32 = 22,661.64 : x
  2. Step 2: Convert to fraction form
    81,820/122,716.32 = 22,661.64/x
  3. Step 3: Cross multiply
    81,820x = 122,716.32 × 22,661.64
  4. Step 4: Simplify right side
    81,820x = 2,780,953,065.96
  5. Step 5: Solve for x
    x = 2,780,953,065.96/81,820
  6. Step 6: Final answer
    x = 33,988.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.