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Finding the Fourth Proportional to 231,477.64, 347,244.24 and 81,687

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Solution

The fourth proportional to 231,477.64, 347,244.24 and 81,687 is: 122,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,477.64 : 347,244.24 = 81,687 : x
  2. Step 2: Convert to fraction form
    231,477.64/347,244.24 = 81,687/x
  3. Step 3: Cross multiply
    231,477.64x = 347,244.24 × 81,687
  4. Step 4: Simplify right side
    231,477.64x = 28,365,340,232.88
  5. Step 5: Solve for x
    x = 28,365,340,232.88/231,477.64
  6. Step 6: Final answer
    x = 122,540.30

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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.