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Finding the Fourth Proportional to 189,640.76, 261,665.60 and 120,757.94

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Solution

The fourth proportional to 189,640.76, 261,665.60 and 120,757.94 is: 166,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,640.76 : 261,665.60 = 120,757.94 : x
  2. Step 2: Convert to fraction form
    189,640.76/261,665.60 = 120,757.94/x
  3. Step 3: Cross multiply
    189,640.76x = 261,665.60 × 120,757.94
  4. Step 4: Simplify right side
    189,640.76x = 31,598,198,824.86
  5. Step 5: Solve for x
    x = 31,598,198,824.86/189,640.76
  6. Step 6: Final answer
    x = 166,621.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.