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Finding the Fourth Proportional to 84,031.11, 125,978.19 and 39,080.83

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Solution

The fourth proportional to 84,031.11, 125,978.19 and 39,080.83 is: 58,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,031.11 : 125,978.19 = 39,080.83 : x
  2. Step 2: Convert to fraction form
    84,031.11/125,978.19 = 39,080.83/x
  3. Step 3: Cross multiply
    84,031.11x = 125,978.19 × 39,080.83
  4. Step 4: Simplify right side
    84,031.11x = 4,923,332,031.69
  5. Step 5: Solve for x
    x = 4,923,332,031.69/84,031.11
  6. Step 6: Final answer
    x = 58,589.40

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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.