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Finding the Fourth Proportional to 231,687.72, 347,560.20 and 81,897.12

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Solution

The fourth proportional to 231,687.72, 347,560.20 and 81,897.12 is: 122,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,687.72 : 347,560.20 = 81,897.12 : x
  2. Step 2: Convert to fraction form
    231,687.72/347,560.20 = 81,897.12/x
  3. Step 3: Cross multiply
    231,687.72x = 347,560.20 × 81,897.12
  4. Step 4: Simplify right side
    231,687.72x = 28,464,179,406.62
  5. Step 5: Solve for x
    x = 28,464,179,406.62/231,687.72
  6. Step 6: Final answer
    x = 122,855.80

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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.