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Finding the Fourth Proportional to 75,715.20, 113,578.20 and 23,124.60

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Solution

The fourth proportional to 75,715.20, 113,578.20 and 23,124.60 is: 34,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,715.20 : 113,578.20 = 23,124.60 : x
  2. Step 2: Convert to fraction form
    75,715.20/113,578.20 = 23,124.60/x
  3. Step 3: Cross multiply
    75,715.20x = 113,578.20 × 23,124.60
  4. Step 4: Simplify right side
    75,715.20x = 2,626,450,443.72
  5. Step 5: Solve for x
    x = 2,626,450,443.72/75,715.20
  6. Step 6: Final answer
    x = 34,688.55

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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.