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Finding the Fourth Proportional to 31,978.80, 44,119.08 and 20,042.64

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Solution

The fourth proportional to 31,978.80, 44,119.08 and 20,042.64 is: 27,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.80 : 44,119.08 = 20,042.64 : x
  2. Step 2: Convert to fraction form
    31,978.80/44,119.08 = 20,042.64/x
  3. Step 3: Cross multiply
    31,978.80x = 44,119.08 × 20,042.64
  4. Step 4: Simplify right side
    31,978.80x = 884,262,837.57
  5. Step 5: Solve for x
    x = 884,262,837.57/31,978.80
  6. Step 6: Final answer
    x = 27,651.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.