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Finding the Fourth Proportional to 81,500.80, 122,251.20 and 61,817.80

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Solution

The fourth proportional to 81,500.80, 122,251.20 and 61,817.80 is: 92,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,500.80 : 122,251.20 = 61,817.80 : x
  2. Step 2: Convert to fraction form
    81,500.80/122,251.20 = 61,817.80/x
  3. Step 3: Cross multiply
    81,500.80x = 122,251.20 × 61,817.80
  4. Step 4: Simplify right side
    81,500.80x = 7,557,300,231.36
  5. Step 5: Solve for x
    x = 7,557,300,231.36/81,500.80
  6. Step 6: Final answer
    x = 92,726.70

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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.