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Finding the Fourth Proportional to 106,435.68, 146,949.68 and 66,204.16

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Solution

The fourth proportional to 106,435.68, 146,949.68 and 66,204.16 is: 91,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,435.68 : 146,949.68 = 66,204.16 : x
  2. Step 2: Convert to fraction form
    106,435.68/146,949.68 = 66,204.16/x
  3. Step 3: Cross multiply
    106,435.68x = 146,949.68 × 66,204.16
  4. Step 4: Simplify right side
    106,435.68x = 9,728,680,126.67
  5. Step 5: Solve for x
    x = 9,728,680,126.67/106,435.68
  6. Step 6: Final answer
    x = 91,404.31

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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.