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Finding the Fourth Proportional to 74,448, 111,676.26 and 21,135.81

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Solution

The fourth proportional to 74,448, 111,676.26 and 21,135.81 is: 31,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,448 : 111,676.26 = 21,135.81 : x
  2. Step 2: Convert to fraction form
    74,448/111,676.26 = 21,135.81/x
  3. Step 3: Cross multiply
    74,448x = 111,676.26 × 21,135.81
  4. Step 4: Simplify right side
    74,448x = 2,360,367,548.81
  5. Step 5: Solve for x
    x = 2,360,367,548.81/74,448
  6. Step 6: Final answer
    x = 31,704.92

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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.