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Finding the Fourth Proportional to 57,710.80, 86,566.20 and 47,861.20

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Solution

The fourth proportional to 57,710.80, 86,566.20 and 47,861.20 is: 71,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710.80 : 86,566.20 = 47,861.20 : x
  2. Step 2: Convert to fraction form
    57,710.80/86,566.20 = 47,861.20/x
  3. Step 3: Cross multiply
    57,710.80x = 86,566.20 × 47,861.20
  4. Step 4: Simplify right side
    57,710.80x = 4,143,162,211.44
  5. Step 5: Solve for x
    x = 4,143,162,211.44/57,710.80
  6. Step 6: Final answer
    x = 71,791.80

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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.