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Finding the Fourth Proportional to 138,451.57, 208,052.56 and 75,318.34

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Solution

The fourth proportional to 138,451.57, 208,052.56 and 75,318.34 is: 113,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,451.57 : 208,052.56 = 75,318.34 : x
  2. Step 2: Convert to fraction form
    138,451.57/208,052.56 = 75,318.34/x
  3. Step 3: Cross multiply
    138,451.57x = 208,052.56 × 75,318.34
  4. Step 4: Simplify right side
    138,451.57x = 15,670,173,923.08
  5. Step 5: Solve for x
    x = 15,670,173,923.08/138,451.57
  6. Step 6: Final answer
    x = 113,181.63

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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.