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Finding the Fourth Proportional to 81,650.70, 122,483.75 and 31,734.62

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Solution

The fourth proportional to 81,650.70, 122,483.75 and 31,734.62 is: 47,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,650.70 : 122,483.75 = 31,734.62 : x
  2. Step 2: Convert to fraction form
    81,650.70/122,483.75 = 31,734.62/x
  3. Step 3: Cross multiply
    81,650.70x = 122,483.75 × 31,734.62
  4. Step 4: Simplify right side
    81,650.70x = 3,886,975,262.43
  5. Step 5: Solve for x
    x = 3,886,975,262.43/81,650.70
  6. Step 6: Final answer
    x = 47,604.92

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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.