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Finding the Fourth Proportional to 82,404, 123,599.79 and 26,241.84

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Solution

The fourth proportional to 82,404, 123,599.79 and 26,241.84 is: 39,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,404 : 123,599.79 = 26,241.84 : x
  2. Step 2: Convert to fraction form
    82,404/123,599.79 = 26,241.84/x
  3. Step 3: Cross multiply
    82,404x = 123,599.79 × 26,241.84
  4. Step 4: Simplify right side
    82,404x = 3,243,485,913.21
  5. Step 5: Solve for x
    x = 3,243,485,913.21/82,404
  6. Step 6: Final answer
    x = 39,360.78

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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.