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Finding the Fourth Proportional to 82,606.64, 123,910.09 and 20,277.14

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Solution

The fourth proportional to 82,606.64, 123,910.09 and 20,277.14 is: 30,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,606.64 : 123,910.09 = 20,277.14 : x
  2. Step 2: Convert to fraction form
    82,606.64/123,910.09 = 20,277.14/x
  3. Step 3: Cross multiply
    82,606.64x = 123,910.09 × 20,277.14
  4. Step 4: Simplify right side
    82,606.64x = 2,512,542,140.96
  5. Step 5: Solve for x
    x = 2,512,542,140.96/82,606.64
  6. Step 6: Final answer
    x = 30,415.74

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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.