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Finding the Fourth Proportional to 154,650.54, 231,910.14 and 54,835.86

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Solution

The fourth proportional to 154,650.54, 231,910.14 and 54,835.86 is: 82,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,650.54 : 231,910.14 = 54,835.86 : x
  2. Step 2: Convert to fraction form
    154,650.54/231,910.14 = 54,835.86/x
  3. Step 3: Cross multiply
    154,650.54x = 231,910.14 × 54,835.86
  4. Step 4: Simplify right side
    154,650.54x = 12,716,991,969.62
  5. Step 5: Solve for x
    x = 12,716,991,969.62/154,650.54
  6. Step 6: Final answer
    x = 82,230.50

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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.