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Finding the Fourth Proportional to 135,164.91, 202,614.94 and 75,221.98

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Solution

The fourth proportional to 135,164.91, 202,614.94 and 75,221.98 is: 112,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,164.91 : 202,614.94 = 75,221.98 : x
  2. Step 2: Convert to fraction form
    135,164.91/202,614.94 = 75,221.98/x
  3. Step 3: Cross multiply
    135,164.91x = 202,614.94 × 75,221.98
  4. Step 4: Simplify right side
    135,164.91x = 15,241,096,964.38
  5. Step 5: Solve for x
    x = 15,241,096,964.38/135,164.91
  6. Step 6: Final answer
    x = 112,759.27

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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.