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Finding the Fourth Proportional to 73,781.24, 101,817.90 and 40,247

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Solution

The fourth proportional to 73,781.24, 101,817.90 and 40,247 is: 55,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,781.24 : 101,817.90 = 40,247 : x
  2. Step 2: Convert to fraction form
    73,781.24/101,817.90 = 40,247/x
  3. Step 3: Cross multiply
    73,781.24x = 101,817.90 × 40,247
  4. Step 4: Simplify right side
    73,781.24x = 4,097,865,021.30
  5. Step 5: Solve for x
    x = 4,097,865,021.30/73,781.24
  6. Step 6: Final answer
    x = 55,540.74

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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.