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Finding the Fourth Proportional to 75,852, 113,778 and 20,448

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Solution

The fourth proportional to 75,852, 113,778 and 20,448 is: 30,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,852 : 113,778 = 20,448 : x
  2. Step 2: Convert to fraction form
    75,852/113,778 = 20,448/x
  3. Step 3: Cross multiply
    75,852x = 113,778 × 20,448
  4. Step 4: Simplify right side
    75,852x = 2,326,532,544
  5. Step 5: Solve for x
    x = 2,326,532,544/75,852
  6. Step 6: Final answer
    x = 30,672

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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.