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Finding the Fourth Proportional to 51,978.86, 77,976.69 and 20,371.78

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Solution

The fourth proportional to 51,978.86, 77,976.69 and 20,371.78 is: 30,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.86 : 77,976.69 = 20,371.78 : x
  2. Step 2: Convert to fraction form
    51,978.86/77,976.69 = 20,371.78/x
  3. Step 3: Cross multiply
    51,978.86x = 77,976.69 × 20,371.78
  4. Step 4: Simplify right side
    51,978.86x = 1,588,523,973.81
  5. Step 5: Solve for x
    x = 1,588,523,973.81/51,978.86
  6. Step 6: Final answer
    x = 30,560.96

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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.