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Finding the Fourth Proportional to 81,874.60, 122,811.90 and 29,285.80

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Solution

The fourth proportional to 81,874.60, 122,811.90 and 29,285.80 is: 43,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.60 : 122,811.90 = 29,285.80 : x
  2. Step 2: Convert to fraction form
    81,874.60/122,811.90 = 29,285.80/x
  3. Step 3: Cross multiply
    81,874.60x = 122,811.90 × 29,285.80
  4. Step 4: Simplify right side
    81,874.60x = 3,596,644,741.02
  5. Step 5: Solve for x
    x = 3,596,644,741.02/81,874.60
  6. Step 6: Final answer
    x = 43,928.70

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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.