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Finding the Fourth Proportional to 81,900.50, 122,793.75 and 36,283.43

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Solution

The fourth proportional to 81,900.50, 122,793.75 and 36,283.43 is: 54,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,900.50 : 122,793.75 = 36,283.43 : x
  2. Step 2: Convert to fraction form
    81,900.50/122,793.75 = 36,283.43/x
  3. Step 3: Cross multiply
    81,900.50x = 122,793.75 × 36,283.43
  4. Step 4: Simplify right side
    81,900.50x = 4,455,377,818.59
  5. Step 5: Solve for x
    x = 4,455,377,818.59/81,900.50
  6. Step 6: Final answer
    x = 54,399.89

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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.