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Finding the Fourth Proportional to 39,112.71, 53,978.61 and 33,029.43

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Solution

The fourth proportional to 39,112.71, 53,978.61 and 33,029.43 is: 45,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,112.71 : 53,978.61 = 33,029.43 : x
  2. Step 2: Convert to fraction form
    39,112.71/53,978.61 = 33,029.43/x
  3. Step 3: Cross multiply
    39,112.71x = 53,978.61 × 33,029.43
  4. Step 4: Simplify right side
    39,112.71x = 1,782,882,720.49
  5. Step 5: Solve for x
    x = 1,782,882,720.49/39,112.71
  6. Step 6: Final answer
    x = 45,583.21

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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.