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Finding the Fourth Proportional to 82,606.61, 123,910.32 and 20,277.11

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Solution

The fourth proportional to 82,606.61, 123,910.32 and 20,277.11 is: 30,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,606.61 : 123,910.32 = 20,277.11 : x
  2. Step 2: Convert to fraction form
    82,606.61/123,910.32 = 20,277.11/x
  3. Step 3: Cross multiply
    82,606.61x = 123,910.32 × 20,277.11
  4. Step 4: Simplify right side
    82,606.61x = 2,512,543,188.78
  5. Step 5: Solve for x
    x = 2,512,543,188.78/82,606.61
  6. Step 6: Final answer
    x = 30,415.76

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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.