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Finding the Fourth Proportional to 82,170.81, 122,661.72 and 72,206.19

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Solution

The fourth proportional to 82,170.81, 122,661.72 and 72,206.19 is: 107,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,170.81 : 122,661.72 = 72,206.19 : x
  2. Step 2: Convert to fraction form
    82,170.81/122,661.72 = 72,206.19/x
  3. Step 3: Cross multiply
    82,170.81x = 122,661.72 × 72,206.19
  4. Step 4: Simplify right side
    82,170.81x = 8,856,935,460.05
  5. Step 5: Solve for x
    x = 8,856,935,460.05/82,170.81
  6. Step 6: Final answer
    x = 107,786.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.