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Finding the Fourth Proportional to 81,245.80, 121,811.10 and 31,306.60

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Solution

The fourth proportional to 81,245.80, 121,811.10 and 31,306.60 is: 46,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,245.80 : 121,811.10 = 31,306.60 : x
  2. Step 2: Convert to fraction form
    81,245.80/121,811.10 = 31,306.60/x
  3. Step 3: Cross multiply
    81,245.80x = 121,811.10 × 31,306.60
  4. Step 4: Simplify right side
    81,245.80x = 3,813,491,383.26
  5. Step 5: Solve for x
    x = 3,813,491,383.26/81,245.80
  6. Step 6: Final answer
    x = 46,937.70

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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.