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Finding the Fourth Proportional to 83,309.85, 124,978.41 and 26,387.64

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Solution

The fourth proportional to 83,309.85, 124,978.41 and 26,387.64 is: 39,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309.85 : 124,978.41 = 26,387.64 : x
  2. Step 2: Convert to fraction form
    83,309.85/124,978.41 = 26,387.64/x
  3. Step 3: Cross multiply
    83,309.85x = 124,978.41 × 26,387.64
  4. Step 4: Simplify right side
    83,309.85x = 3,297,885,290.85
  5. Step 5: Solve for x
    x = 3,297,885,290.85/83,309.85
  6. Step 6: Final answer
    x = 39,585.78

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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.