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Finding the Fourth Proportional to 257,843.22, 386,513.34 and 108,128.52

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Solution

The fourth proportional to 257,843.22, 386,513.34 and 108,128.52 is: 162,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,843.22 : 386,513.34 = 108,128.52 : x
  2. Step 2: Convert to fraction form
    257,843.22/386,513.34 = 108,128.52/x
  3. Step 3: Cross multiply
    257,843.22x = 386,513.34 × 108,128.52
  4. Step 4: Simplify right side
    257,843.22x = 41,793,115,414.46
  5. Step 5: Solve for x
    x = 41,793,115,414.46/257,843.22
  6. Step 6: Final answer
    x = 162,087.32

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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.