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Finding the Fourth Proportional to 48,321.12, 72,480.72 and 27,500

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Solution

The fourth proportional to 48,321.12, 72,480.72 and 27,500 is: 41,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,321.12 : 72,480.72 = 27,500 : x
  2. Step 2: Convert to fraction form
    48,321.12/72,480.72 = 27,500/x
  3. Step 3: Cross multiply
    48,321.12x = 72,480.72 × 27,500
  4. Step 4: Simplify right side
    48,321.12x = 1,993,219,800
  5. Step 5: Solve for x
    x = 1,993,219,800/48,321.12
  6. Step 6: Final answer
    x = 41,249.45

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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.