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Finding the Fourth Proportional to 83,859.12, 125,749.80 and 31,254.48

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Solution

The fourth proportional to 83,859.12, 125,749.80 and 31,254.48 is: 46,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,859.12 : 125,749.80 = 31,254.48 : x
  2. Step 2: Convert to fraction form
    83,859.12/125,749.80 = 31,254.48/x
  3. Step 3: Cross multiply
    83,859.12x = 125,749.80 × 31,254.48
  4. Step 4: Simplify right side
    83,859.12x = 3,930,244,609.10
  5. Step 5: Solve for x
    x = 3,930,244,609.10/83,859.12
  6. Step 6: Final answer
    x = 46,867.23

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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.