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Finding the Fourth Proportional to 257,297.15, 386,002.43 and 86,513.03

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Solution

The fourth proportional to 257,297.15, 386,002.43 and 86,513.03 is: 129,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,297.15 : 386,002.43 = 86,513.03 : x
  2. Step 2: Convert to fraction form
    257,297.15/386,002.43 = 86,513.03/x
  3. Step 3: Cross multiply
    257,297.15x = 386,002.43 × 86,513.03
  4. Step 4: Simplify right side
    257,297.15x = 33,394,239,806.66
  5. Step 5: Solve for x
    x = 33,394,239,806.66/257,297.15
  6. Step 6: Final answer
    x = 129,788.61

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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.