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Finding the Fourth Proportional to 138,550.74, 207,450.72 and 71,851

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Solution

The fourth proportional to 138,550.74, 207,450.72 and 71,851 is: 107,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,550.74 : 207,450.72 = 71,851 : x
  2. Step 2: Convert to fraction form
    138,550.74/207,450.72 = 71,851/x
  3. Step 3: Cross multiply
    138,550.74x = 207,450.72 × 71,851
  4. Step 4: Simplify right side
    138,550.74x = 14,905,541,682.72
  5. Step 5: Solve for x
    x = 14,905,541,682.72/138,550.74
  6. Step 6: Final answer
    x = 107,581.83

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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.