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Finding the Fourth Proportional to 51,952.44, 77,884.92 and 20,770.68

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Solution

The fourth proportional to 51,952.44, 77,884.92 and 20,770.68 is: 31,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952.44 : 77,884.92 = 20,770.68 : x
  2. Step 2: Convert to fraction form
    51,952.44/77,884.92 = 20,770.68/x
  3. Step 3: Cross multiply
    51,952.44x = 77,884.92 × 20,770.68
  4. Step 4: Simplify right side
    51,952.44x = 1,617,722,750.15
  5. Step 5: Solve for x
    x = 1,617,722,750.15/51,952.44
  6. Step 6: Final answer
    x = 31,138.53

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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.