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Finding the Fourth Proportional to 51,814.56, 77,742.48 and 20,671.68

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Solution

The fourth proportional to 51,814.56, 77,742.48 and 20,671.68 is: 31,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.56 : 77,742.48 = 20,671.68 : x
  2. Step 2: Convert to fraction form
    51,814.56/77,742.48 = 20,671.68/x
  3. Step 3: Cross multiply
    51,814.56x = 77,742.48 × 20,671.68
  4. Step 4: Simplify right side
    51,814.56x = 1,607,067,668.97
  5. Step 5: Solve for x
    x = 1,607,067,668.97/51,814.56
  6. Step 6: Final answer
    x = 31,015.75

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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.