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Finding the Fourth Proportional to 138,450.96, 208,051.67 and 75,317.74

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Solution

The fourth proportional to 138,450.96, 208,051.67 and 75,317.74 is: 113,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,450.96 : 208,051.67 = 75,317.74 : x
  2. Step 2: Convert to fraction form
    138,450.96/208,051.67 = 75,317.74/x
  3. Step 3: Cross multiply
    138,450.96x = 208,051.67 × 75,317.74
  4. Step 4: Simplify right side
    138,450.96x = 15,669,981,255.79
  5. Step 5: Solve for x
    x = 15,669,981,255.79/138,450.96
  6. Step 6: Final answer
    x = 113,180.73

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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.