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Finding the Fourth Proportional to 231,409.92, 347,170.26 and 81,683.82

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Solution

The fourth proportional to 231,409.92, 347,170.26 and 81,683.82 is: 122,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,409.92 : 347,170.26 = 81,683.82 : x
  2. Step 2: Convert to fraction form
    231,409.92/347,170.26 = 81,683.82/x
  3. Step 3: Cross multiply
    231,409.92x = 347,170.26 × 81,683.82
  4. Step 4: Simplify right side
    231,409.92x = 28,358,193,027.19
  5. Step 5: Solve for x
    x = 28,358,193,027.19/231,409.92
  6. Step 6: Final answer
    x = 122,545.28

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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.