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Finding the Fourth Proportional to 133,457.28, 200,187.24 and 54,517.56

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Solution

The fourth proportional to 133,457.28, 200,187.24 and 54,517.56 is: 81,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,457.28 : 200,187.24 = 54,517.56 : x
  2. Step 2: Convert to fraction form
    133,457.28/200,187.24 = 54,517.56/x
  3. Step 3: Cross multiply
    133,457.28x = 200,187.24 × 54,517.56
  4. Step 4: Simplify right side
    133,457.28x = 10,913,719,867.93
  5. Step 5: Solve for x
    x = 10,913,719,867.93/133,457.28
  6. Step 6: Final answer
    x = 81,776.88

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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.