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Finding the Fourth Proportional to 57,309.80, 85,964.70 and 47,460.20

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Solution

The fourth proportional to 57,309.80, 85,964.70 and 47,460.20 is: 71,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.80 : 85,964.70 = 47,460.20 : x
  2. Step 2: Convert to fraction form
    57,309.80/85,964.70 = 47,460.20/x
  3. Step 3: Cross multiply
    57,309.80x = 85,964.70 × 47,460.20
  4. Step 4: Simplify right side
    57,309.80x = 4,079,901,854.94
  5. Step 5: Solve for x
    x = 4,079,901,854.94/57,309.80
  6. Step 6: Final answer
    x = 71,190.30

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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.