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Finding the Fourth Proportional to 82,860, 124,309.44 and 27,456

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Solution

The fourth proportional to 82,860, 124,309.44 and 27,456 is: 41,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,860 : 124,309.44 = 27,456 : x
  2. Step 2: Convert to fraction form
    82,860/124,309.44 = 27,456/x
  3. Step 3: Cross multiply
    82,860x = 124,309.44 × 27,456
  4. Step 4: Simplify right side
    82,860x = 3,413,039,984.64
  5. Step 5: Solve for x
    x = 3,413,039,984.64/82,860
  6. Step 6: Final answer
    x = 41,190.44

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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.