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Finding the Fourth Proportional to 149,148.36, 205,825.42 and 85,489.88

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Solution

The fourth proportional to 149,148.36, 205,825.42 and 85,489.88 is: 117,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,148.36 : 205,825.42 = 85,489.88 : x
  2. Step 2: Convert to fraction form
    149,148.36/205,825.42 = 85,489.88/x
  3. Step 3: Cross multiply
    149,148.36x = 205,825.42 × 85,489.88
  4. Step 4: Simplify right side
    149,148.36x = 17,595,990,456.75
  5. Step 5: Solve for x
    x = 17,595,990,456.75/149,148.36
  6. Step 6: Final answer
    x = 117,976.43

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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.