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Finding the Fourth Proportional to 106,196.80, 146,490.36 and 66,383.68

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Solution

The fourth proportional to 106,196.80, 146,490.36 and 66,383.68 is: 91,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,196.80 : 146,490.36 = 66,383.68 : x
  2. Step 2: Convert to fraction form
    106,196.80/146,490.36 = 66,383.68/x
  3. Step 3: Cross multiply
    106,196.80x = 146,490.36 × 66,383.68
  4. Step 4: Simplify right side
    106,196.80x = 9,724,569,181.32
  5. Step 5: Solve for x
    x = 9,724,569,181.32/106,196.80
  6. Step 6: Final answer
    x = 91,571.21

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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.