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Finding the Fourth Proportional to 72,022, 99,390 and 40,189

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Solution

The fourth proportional to 72,022, 99,390 and 40,189 is: 55,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,022 : 99,390 = 40,189 : x
  2. Step 2: Convert to fraction form
    72,022/99,390 = 40,189/x
  3. Step 3: Cross multiply
    72,022x = 99,390 × 40,189
  4. Step 4: Simplify right side
    72,022x = 3,994,384,710
  5. Step 5: Solve for x
    x = 3,994,384,710/72,022
  6. Step 6: Final answer
    x = 55,460.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.