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Finding the Fourth Proportional to 257,131.80, 354,863.84 and 149,735.52

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Solution

The fourth proportional to 257,131.80, 354,863.84 and 149,735.52 is: 206,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,131.80 : 354,863.84 = 149,735.52 : x
  2. Step 2: Convert to fraction form
    257,131.80/354,863.84 = 149,735.52/x
  3. Step 3: Cross multiply
    257,131.80x = 354,863.84 × 149,735.52
  4. Step 4: Simplify right side
    257,131.80x = 53,135,720,862.92
  5. Step 5: Solve for x
    x = 53,135,720,862.92/257,131.80
  6. Step 6: Final answer
    x = 206,647.80

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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.