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Finding the Fourth Proportional to 231,471.40, 347,234.84 and 81,680.75

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Solution

The fourth proportional to 231,471.40, 347,234.84 and 81,680.75 is: 122,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,471.40 : 347,234.84 = 81,680.75 : x
  2. Step 2: Convert to fraction form
    231,471.40/347,234.84 = 81,680.75/x
  3. Step 3: Cross multiply
    231,471.40x = 347,234.84 × 81,680.75
  4. Step 4: Simplify right side
    231,471.40x = 28,362,402,157.33
  5. Step 5: Solve for x
    x = 28,362,402,157.33/231,471.40
  6. Step 6: Final answer
    x = 122,530.91

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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.