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Finding the Fourth Proportional to 75,625.68, 113,429.92 and 20,226

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Solution

The fourth proportional to 75,625.68, 113,429.92 and 20,226 is: 30,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,625.68 : 113,429.92 = 20,226 : x
  2. Step 2: Convert to fraction form
    75,625.68/113,429.92 = 20,226/x
  3. Step 3: Cross multiply
    75,625.68x = 113,429.92 × 20,226
  4. Step 4: Simplify right side
    75,625.68x = 2,294,233,561.92
  5. Step 5: Solve for x
    x = 2,294,233,561.92/75,625.68
  6. Step 6: Final answer
    x = 30,336.70

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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.