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Finding the Fourth Proportional to 231,470.65, 347,233.71 and 81,680

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Solution

The fourth proportional to 231,470.65, 347,233.71 and 81,680 is: 122,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,470.65 : 347,233.71 = 81,680 : x
  2. Step 2: Convert to fraction form
    231,470.65/347,233.71 = 81,680/x
  3. Step 3: Cross multiply
    231,470.65x = 347,233.71 × 81,680
  4. Step 4: Simplify right side
    231,470.65x = 28,362,049,432.80
  5. Step 5: Solve for x
    x = 28,362,049,432.80/231,470.65
  6. Step 6: Final answer
    x = 122,529.79

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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.