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Finding the Fourth Proportional to 72,771.99, 100,422.72 and 40,505.53

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Solution

The fourth proportional to 72,771.99, 100,422.72 and 40,505.53 is: 55,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,771.99 : 100,422.72 = 40,505.53 : x
  2. Step 2: Convert to fraction form
    72,771.99/100,422.72 = 40,505.53/x
  3. Step 3: Cross multiply
    72,771.99x = 100,422.72 × 40,505.53
  4. Step 4: Simplify right side
    72,771.99x = 4,067,675,497.64
  5. Step 5: Solve for x
    x = 4,067,675,497.64/72,771.99
  6. Step 6: Final answer
    x = 55,896.17

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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.