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Finding the Fourth Proportional to 149,298.54, 206,031.97 and 82,230.54

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Solution

The fourth proportional to 149,298.54, 206,031.97 and 82,230.54 is: 113,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298.54 : 206,031.97 = 82,230.54 : x
  2. Step 2: Convert to fraction form
    149,298.54/206,031.97 = 82,230.54/x
  3. Step 3: Cross multiply
    149,298.54x = 206,031.97 × 82,230.54
  4. Step 4: Simplify right side
    149,298.54x = 16,942,120,150.36
  5. Step 5: Solve for x
    x = 16,942,120,150.36/149,298.54
  6. Step 6: Final answer
    x = 113,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.