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Finding the Fourth Proportional to 138,243.63, 207,358.14 and 68,099.25

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Solution

The fourth proportional to 138,243.63, 207,358.14 and 68,099.25 is: 102,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,243.63 : 207,358.14 = 68,099.25 : x
  2. Step 2: Convert to fraction form
    138,243.63/207,358.14 = 68,099.25/x
  3. Step 3: Cross multiply
    138,243.63x = 207,358.14 × 68,099.25
  4. Step 4: Simplify right side
    138,243.63x = 14,120,933,815.40
  5. Step 5: Solve for x
    x = 14,120,933,815.40/138,243.63
  6. Step 6: Final answer
    x = 102,145.28

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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.