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Finding the Fourth Proportional to 231,469.40, 347,231.84 and 81,678.74

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Solution

The fourth proportional to 231,469.40, 347,231.84 and 81,678.74 is: 122,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,469.40 : 347,231.84 = 81,678.74 : x
  2. Step 2: Convert to fraction form
    231,469.40/347,231.84 = 81,678.74/x
  3. Step 3: Cross multiply
    231,469.40x = 347,231.84 × 81,678.74
  4. Step 4: Simplify right side
    231,469.40x = 28,361,457,034.53
  5. Step 5: Solve for x
    x = 28,361,457,034.53/231,469.40
  6. Step 6: Final answer
    x = 122,527.89

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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.