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Finding the Fourth Proportional to 81,978.80, 122,989.80 and 29,382.80

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Solution

The fourth proportional to 81,978.80, 122,989.80 and 29,382.80 is: 44,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978.80 : 122,989.80 = 29,382.80 : x
  2. Step 2: Convert to fraction form
    81,978.80/122,989.80 = 29,382.80/x
  3. Step 3: Cross multiply
    81,978.80x = 122,989.80 × 29,382.80
  4. Step 4: Simplify right side
    81,978.80x = 3,613,784,695.44
  5. Step 5: Solve for x
    x = 3,613,784,695.44/81,978.80
  6. Step 6: Final answer
    x = 44,081.94

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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.