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Finding the Fourth Proportional to 71,684.25, 106,831.85 and 67,951.77

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Solution

The fourth proportional to 71,684.25, 106,831.85 and 67,951.77 is: 101,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,684.25 : 106,831.85 = 67,951.77 : x
  2. Step 2: Convert to fraction form
    71,684.25/106,831.85 = 67,951.77/x
  3. Step 3: Cross multiply
    71,684.25x = 106,831.85 × 67,951.77
  4. Step 4: Simplify right side
    71,684.25x = 7,259,413,299.87
  5. Step 5: Solve for x
    x = 7,259,413,299.87/71,684.25
  6. Step 6: Final answer
    x = 101,269.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.