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Finding the Fourth Proportional to 48,015, 72,022.50 and 15,183

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Solution

The fourth proportional to 48,015, 72,022.50 and 15,183 is: 22,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,015 : 72,022.50 = 15,183 : x
  2. Step 2: Convert to fraction form
    48,015/72,022.50 = 15,183/x
  3. Step 3: Cross multiply
    48,015x = 72,022.50 × 15,183
  4. Step 4: Simplify right side
    48,015x = 1,093,517,617.50
  5. Step 5: Solve for x
    x = 1,093,517,617.50/48,015
  6. Step 6: Final answer
    x = 22,774.50

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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.