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Finding the Fourth Proportional to 82,219, 123,328.50 and 26,815

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Solution

The fourth proportional to 82,219, 123,328.50 and 26,815 is: 40,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219 : 123,328.50 = 26,815 : x
  2. Step 2: Convert to fraction form
    82,219/123,328.50 = 26,815/x
  3. Step 3: Cross multiply
    82,219x = 123,328.50 × 26,815
  4. Step 4: Simplify right side
    82,219x = 3,307,053,727.50
  5. Step 5: Solve for x
    x = 3,307,053,727.50/82,219
  6. Step 6: Final answer
    x = 40,222.50

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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.