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Finding the Fourth Proportional to 149,884.29, 206,840.34 and 82,816.29

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Solution

The fourth proportional to 149,884.29, 206,840.34 and 82,816.29 is: 114,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,884.29 : 206,840.34 = 82,816.29 : x
  2. Step 2: Convert to fraction form
    149,884.29/206,840.34 = 82,816.29/x
  3. Step 3: Cross multiply
    149,884.29x = 206,840.34 × 82,816.29
  4. Step 4: Simplify right side
    149,884.29x = 17,129,749,581.14
  5. Step 5: Solve for x
    x = 17,129,749,581.14/149,884.29
  6. Step 6: Final answer
    x = 114,286.49

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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.