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Finding the Fourth Proportional to 71,428.80, 107,110.80 and 27,040.80

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Solution

The fourth proportional to 71,428.80, 107,110.80 and 27,040.80 is: 40,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428.80 : 107,110.80 = 27,040.80 : x
  2. Step 2: Convert to fraction form
    71,428.80/107,110.80 = 27,040.80/x
  3. Step 3: Cross multiply
    71,428.80x = 107,110.80 × 27,040.80
  4. Step 4: Simplify right side
    71,428.80x = 2,896,361,720.64
  5. Step 5: Solve for x
    x = 2,896,361,720.64/71,428.80
  6. Step 6: Final answer
    x = 40,548.93

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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.