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Finding the Fourth Proportional to 51,400.44, 77,129.82 and 21,815.19

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Solution

The fourth proportional to 51,400.44, 77,129.82 and 21,815.19 is: 32,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,400.44 : 77,129.82 = 21,815.19 : x
  2. Step 2: Convert to fraction form
    51,400.44/77,129.82 = 21,815.19/x
  3. Step 3: Cross multiply
    51,400.44x = 77,129.82 × 21,815.19
  4. Step 4: Simplify right side
    51,400.44x = 1,682,601,677.97
  5. Step 5: Solve for x
    x = 1,682,601,677.97/51,400.44
  6. Step 6: Final answer
    x = 32,735.16

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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.