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Finding the Fourth Proportional to 51,433.74, 77,179.74 and 20,290.86

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Solution

The fourth proportional to 51,433.74, 77,179.74 and 20,290.86 is: 30,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433.74 : 77,179.74 = 20,290.86 : x
  2. Step 2: Convert to fraction form
    51,433.74/77,179.74 = 20,290.86/x
  3. Step 3: Cross multiply
    51,433.74x = 77,179.74 × 20,290.86
  4. Step 4: Simplify right side
    51,433.74x = 1,566,043,299.18
  5. Step 5: Solve for x
    x = 1,566,043,299.18/51,433.74
  6. Step 6: Final answer
    x = 30,447.78

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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.