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Finding the Fourth Proportional to 71,812, 107,718 and 25,052.32

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Solution

The fourth proportional to 71,812, 107,718 and 25,052.32 is: 37,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,812 : 107,718 = 25,052.32 : x
  2. Step 2: Convert to fraction form
    71,812/107,718 = 25,052.32/x
  3. Step 3: Cross multiply
    71,812x = 107,718 × 25,052.32
  4. Step 4: Simplify right side
    71,812x = 2,698,585,805.76
  5. Step 5: Solve for x
    x = 2,698,585,805.76/71,812
  6. Step 6: Final answer
    x = 37,578.48

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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.