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Finding the Fourth Proportional to 47,769.57, 71,653.57 and 12,230.60

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Solution

The fourth proportional to 47,769.57, 71,653.57 and 12,230.60 is: 18,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769.57 : 71,653.57 = 12,230.60 : x
  2. Step 2: Convert to fraction form
    47,769.57/71,653.57 = 12,230.60/x
  3. Step 3: Cross multiply
    47,769.57x = 71,653.57 × 12,230.60
  4. Step 4: Simplify right side
    47,769.57x = 876,365,764.40
  5. Step 5: Solve for x
    x = 876,365,764.40/47,769.57
  6. Step 6: Final answer
    x = 18,345.69

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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.