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Finding the Fourth Proportional to 121,382.40, 182,128.64 and 54,786.56

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Solution

The fourth proportional to 121,382.40, 182,128.64 and 54,786.56 is: 82,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,382.40 : 182,128.64 = 54,786.56 : x
  2. Step 2: Convert to fraction form
    121,382.40/182,128.64 = 54,786.56/x
  3. Step 3: Cross multiply
    121,382.40x = 182,128.64 × 54,786.56
  4. Step 4: Simplify right side
    121,382.40x = 9,978,201,663.08
  5. Step 5: Solve for x
    x = 9,978,201,663.08/121,382.40
  6. Step 6: Final answer
    x = 82,204.68

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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.