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Finding the Fourth Proportional to 105,977.36, 146,247.72 and 58,229.68

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Solution

The fourth proportional to 105,977.36, 146,247.72 and 58,229.68 is: 80,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,977.36 : 146,247.72 = 58,229.68 : x
  2. Step 2: Convert to fraction form
    105,977.36/146,247.72 = 58,229.68/x
  3. Step 3: Cross multiply
    105,977.36x = 146,247.72 × 58,229.68
  4. Step 4: Simplify right side
    105,977.36x = 8,515,957,936.33
  5. Step 5: Solve for x
    x = 8,515,957,936.33/105,977.36
  6. Step 6: Final answer
    x = 80,356.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.