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Finding the Fourth Proportional to 47,474.90, 71,216.42 and 12,414.50

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Solution

The fourth proportional to 47,474.90, 71,216.42 and 12,414.50 is: 18,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474.90 : 71,216.42 = 12,414.50 : x
  2. Step 2: Convert to fraction form
    47,474.90/71,216.42 = 12,414.50/x
  3. Step 3: Cross multiply
    47,474.90x = 71,216.42 × 12,414.50
  4. Step 4: Simplify right side
    47,474.90x = 884,116,246.09
  5. Step 5: Solve for x
    x = 884,116,246.09/47,474.90
  6. Step 6: Final answer
    x = 18,622.81

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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.