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Finding the Fourth Proportional to 138,551.74, 207,452.22 and 71,852

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Solution

The fourth proportional to 138,551.74, 207,452.22 and 71,852 is: 107,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,551.74 : 207,452.22 = 71,852 : x
  2. Step 2: Convert to fraction form
    138,551.74/207,452.22 = 71,852/x
  3. Step 3: Cross multiply
    138,551.74x = 207,452.22 × 71,852
  4. Step 4: Simplify right side
    138,551.74x = 14,905,856,911.44
  5. Step 5: Solve for x
    x = 14,905,856,911.44/138,551.74
  6. Step 6: Final answer
    x = 107,583.33

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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.