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Finding the Fourth Proportional to 106,641.90, 147,183.90 and 81,107.34

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Solution

The fourth proportional to 106,641.90, 147,183.90 and 81,107.34 is: 111,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,641.90 : 147,183.90 = 81,107.34 : x
  2. Step 2: Convert to fraction form
    106,641.90/147,183.90 = 81,107.34/x
  3. Step 3: Cross multiply
    106,641.90x = 147,183.90 × 81,107.34
  4. Step 4: Simplify right side
    106,641.90x = 11,937,694,619.83
  5. Step 5: Solve for x
    x = 11,937,694,619.83/106,641.90
  6. Step 6: Final answer
    x = 111,941.88

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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.