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Finding the Fourth Proportional to 82,221, 123,331.50 and 26,817

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Solution

The fourth proportional to 82,221, 123,331.50 and 26,817 is: 40,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221 : 123,331.50 = 26,817 : x
  2. Step 2: Convert to fraction form
    82,221/123,331.50 = 26,817/x
  3. Step 3: Cross multiply
    82,221x = 123,331.50 × 26,817
  4. Step 4: Simplify right side
    82,221x = 3,307,380,835.50
  5. Step 5: Solve for x
    x = 3,307,380,835.50/82,221
  6. Step 6: Final answer
    x = 40,225.50

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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.