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Finding the Fourth Proportional to 51,291, 76,944.20 and 18,005.22

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Solution

The fourth proportional to 51,291, 76,944.20 and 18,005.22 is: 27,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,291 : 76,944.20 = 18,005.22 : x
  2. Step 2: Convert to fraction form
    51,291/76,944.20 = 18,005.22/x
  3. Step 3: Cross multiply
    51,291x = 76,944.20 × 18,005.22
  4. Step 4: Simplify right side
    51,291x = 1,385,397,158.70
  5. Step 5: Solve for x
    x = 1,385,397,158.70/51,291
  6. Step 6: Final answer
    x = 27,010.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.