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Finding the Fourth Proportional to 133,051.68, 199,471.48 and 76,827.96

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Solution

The fourth proportional to 133,051.68, 199,471.48 and 76,827.96 is: 115,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051.68 : 199,471.48 = 76,827.96 : x
  2. Step 2: Convert to fraction form
    133,051.68/199,471.48 = 76,827.96/x
  3. Step 3: Cross multiply
    133,051.68x = 199,471.48 × 76,827.96
  4. Step 4: Simplify right side
    133,051.68x = 15,324,986,886.58
  5. Step 5: Solve for x
    x = 15,324,986,886.58/133,051.68
  6. Step 6: Final answer
    x = 115,180.71

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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.