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Finding the Fourth Proportional to 71,429.80, 107,112.30 and 27,041.80

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Solution

The fourth proportional to 71,429.80, 107,112.30 and 27,041.80 is: 40,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,429.80 : 107,112.30 = 27,041.80 : x
  2. Step 2: Convert to fraction form
    71,429.80/107,112.30 = 27,041.80/x
  3. Step 3: Cross multiply
    71,429.80x = 107,112.30 × 27,041.80
  4. Step 4: Simplify right side
    71,429.80x = 2,896,509,394.14
  5. Step 5: Solve for x
    x = 2,896,509,394.14/71,429.80
  6. Step 6: Final answer
    x = 40,550.43

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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.