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Finding the Fourth Proportional to 57,305.80, 85,958.70 and 47,456.20

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Solution

The fourth proportional to 57,305.80, 85,958.70 and 47,456.20 is: 71,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305.80 : 85,958.70 = 47,456.20 : x
  2. Step 2: Convert to fraction form
    57,305.80/85,958.70 = 47,456.20/x
  3. Step 3: Cross multiply
    57,305.80x = 85,958.70 × 47,456.20
  4. Step 4: Simplify right side
    57,305.80x = 4,079,273,258.94
  5. Step 5: Solve for x
    x = 4,079,273,258.94/57,305.80
  6. Step 6: Final answer
    x = 71,184.30

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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.