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Finding the Fourth Proportional to 148,524.75, 204,977.12 and 81,469.71

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Solution

The fourth proportional to 148,524.75, 204,977.12 and 81,469.71 is: 112,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,524.75 : 204,977.12 = 81,469.71 : x
  2. Step 2: Convert to fraction form
    148,524.75/204,977.12 = 81,469.71/x
  3. Step 3: Cross multiply
    148,524.75x = 204,977.12 × 81,469.71
  4. Step 4: Simplify right side
    148,524.75x = 16,699,426,115.69
  5. Step 5: Solve for x
    x = 16,699,426,115.69/148,524.75
  6. Step 6: Final answer
    x = 112,435.31

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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.