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Finding the Fourth Proportional to 82,121.72, 123,150 and 28,072.94

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Solution

The fourth proportional to 82,121.72, 123,150 and 28,072.94 is: 42,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,121.72 : 123,150 = 28,072.94 : x
  2. Step 2: Convert to fraction form
    82,121.72/123,150 = 28,072.94/x
  3. Step 3: Cross multiply
    82,121.72x = 123,150 × 28,072.94
  4. Step 4: Simplify right side
    82,121.72x = 3,457,182,561
  5. Step 5: Solve for x
    x = 3,457,182,561/82,121.72
  6. Step 6: Final answer
    x = 42,098.27

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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.