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Finding the Fourth Proportional to 75,629.70, 113,435.90 and 20,230.02

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Solution

The fourth proportional to 75,629.70, 113,435.90 and 20,230.02 is: 30,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,629.70 : 113,435.90 = 20,230.02 : x
  2. Step 2: Convert to fraction form
    75,629.70/113,435.90 = 20,230.02/x
  3. Step 3: Cross multiply
    75,629.70x = 113,435.90 × 20,230.02
  4. Step 4: Simplify right side
    75,629.70x = 2,294,810,525.72
  5. Step 5: Solve for x
    x = 2,294,810,525.72/75,629.70
  6. Step 6: Final answer
    x = 30,342.72

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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.