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Finding the Fourth Proportional to 82,505.50, 123,760.68 and 20,176

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Solution

The fourth proportional to 82,505.50, 123,760.68 and 20,176 is: 30,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,505.50 : 123,760.68 = 20,176 : x
  2. Step 2: Convert to fraction form
    82,505.50/123,760.68 = 20,176/x
  3. Step 3: Cross multiply
    82,505.50x = 123,760.68 × 20,176
  4. Step 4: Simplify right side
    82,505.50x = 2,496,995,479.68
  5. Step 5: Solve for x
    x = 2,496,995,479.68/82,505.50
  6. Step 6: Final answer
    x = 30,264.59

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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.