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Finding the Fourth Proportional to 81,234.99, 121,839.89 and 31,338.45

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Solution

The fourth proportional to 81,234.99, 121,839.89 and 31,338.45 is: 47,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,234.99 : 121,839.89 = 31,338.45 : x
  2. Step 2: Convert to fraction form
    81,234.99/121,839.89 = 31,338.45/x
  3. Step 3: Cross multiply
    81,234.99x = 121,839.89 × 31,338.45
  4. Step 4: Simplify right side
    81,234.99x = 3,818,273,144.08
  5. Step 5: Solve for x
    x = 3,818,273,144.08/81,234.99
  6. Step 6: Final answer
    x = 47,002.81

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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.