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Finding the Fourth Proportional to 51,978.54, 77,976.22 and 20,371.46

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Solution

The fourth proportional to 51,978.54, 77,976.22 and 20,371.46 is: 30,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.54 : 77,976.22 = 20,371.46 : x
  2. Step 2: Convert to fraction form
    51,978.54/77,976.22 = 20,371.46/x
  3. Step 3: Cross multiply
    51,978.54x = 77,976.22 × 20,371.46
  4. Step 4: Simplify right side
    51,978.54x = 1,588,489,446.68
  5. Step 5: Solve for x
    x = 1,588,489,446.68/51,978.54
  6. Step 6: Final answer
    x = 30,560.49

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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.