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Finding the Fourth Proportional to 272,134.82, 408,203.54 and 82,596.84

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Solution

The fourth proportional to 272,134.82, 408,203.54 and 82,596.84 is: 123,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,134.82 : 408,203.54 = 82,596.84 : x
  2. Step 2: Convert to fraction form
    272,134.82/408,203.54 = 82,596.84/x
  3. Step 3: Cross multiply
    272,134.82x = 408,203.54 × 82,596.84
  4. Step 4: Simplify right side
    272,134.82x = 33,716,322,480.81
  5. Step 5: Solve for x
    x = 33,716,322,480.81/272,134.82
  6. Step 6: Final answer
    x = 123,895.66

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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.