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Finding the Fourth Proportional to 230,515, 345,772.50 and 74,867

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Solution

The fourth proportional to 230,515, 345,772.50 and 74,867 is: 112,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,515 : 345,772.50 = 74,867 : x
  2. Step 2: Convert to fraction form
    230,515/345,772.50 = 74,867/x
  3. Step 3: Cross multiply
    230,515x = 345,772.50 × 74,867
  4. Step 4: Simplify right side
    230,515x = 25,886,949,757.50
  5. Step 5: Solve for x
    x = 25,886,949,757.50/230,515
  6. Step 6: Final answer
    x = 112,300.50

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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.