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Finding the Fourth Proportional to 82,077, 123,115.50 and 19,747.50

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Solution

The fourth proportional to 82,077, 123,115.50 and 19,747.50 is: 29,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,077 : 123,115.50 = 19,747.50 : x
  2. Step 2: Convert to fraction form
    82,077/123,115.50 = 19,747.50/x
  3. Step 3: Cross multiply
    82,077x = 123,115.50 × 19,747.50
  4. Step 4: Simplify right side
    82,077x = 2,431,223,336.25
  5. Step 5: Solve for x
    x = 2,431,223,336.25/82,077
  6. Step 6: Final answer
    x = 29,621.25

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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.