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Finding the Fourth Proportional to 231,544.94, 347,358.72 and 81,872.13

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Solution

The fourth proportional to 231,544.94, 347,358.72 and 81,872.13 is: 122,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,544.94 : 347,358.72 = 81,872.13 : x
  2. Step 2: Convert to fraction form
    231,544.94/347,358.72 = 81,872.13/x
  3. Step 3: Cross multiply
    231,544.94x = 347,358.72 × 81,872.13
  4. Step 4: Simplify right side
    231,544.94x = 28,438,998,280.47
  5. Step 5: Solve for x
    x = 28,438,998,280.47/231,544.94
  6. Step 6: Final answer
    x = 122,822.80

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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.