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Finding the Fourth Proportional to 47,676.75, 65,793.92 and 30,909.75

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Solution

The fourth proportional to 47,676.75, 65,793.92 and 30,909.75 is: 42,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.75 : 65,793.92 = 30,909.75 : x
  2. Step 2: Convert to fraction form
    47,676.75/65,793.92 = 30,909.75/x
  3. Step 3: Cross multiply
    47,676.75x = 65,793.92 × 30,909.75
  4. Step 4: Simplify right side
    47,676.75x = 2,033,673,464.17
  5. Step 5: Solve for x
    x = 2,033,673,464.17/47,676.75
  6. Step 6: Final answer
    x = 42,655.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.