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Finding the Fourth Proportional to 75,672.80, 113,428.20 and 25,706.60

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Solution

The fourth proportional to 75,672.80, 113,428.20 and 25,706.60 is: 38,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,672.80 : 113,428.20 = 25,706.60 : x
  2. Step 2: Convert to fraction form
    75,672.80/113,428.20 = 25,706.60/x
  3. Step 3: Cross multiply
    75,672.80x = 113,428.20 × 25,706.60
  4. Step 4: Simplify right side
    75,672.80x = 2,915,853,366.12
  5. Step 5: Solve for x
    x = 2,915,853,366.12/75,672.80
  6. Step 6: Final answer
    x = 38,532.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.