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Finding the Fourth Proportional to 51,343.39, 76,982.13 and 21,378.39

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Solution

The fourth proportional to 51,343.39, 76,982.13 and 21,378.39 is: 32,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,343.39 : 76,982.13 = 21,378.39 : x
  2. Step 2: Convert to fraction form
    51,343.39/76,982.13 = 21,378.39/x
  3. Step 3: Cross multiply
    51,343.39x = 76,982.13 × 21,378.39
  4. Step 4: Simplify right side
    51,343.39x = 1,645,753,998.17
  5. Step 5: Solve for x
    x = 1,645,753,998.17/51,343.39
  6. Step 6: Final answer
    x = 32,053.86

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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.