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Finding the Fourth Proportional to 159,678.90, 220,446.90 and 106,037.28

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Solution

The fourth proportional to 159,678.90, 220,446.90 and 106,037.28 is: 146,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,678.90 : 220,446.90 = 106,037.28 : x
  2. Step 2: Convert to fraction form
    159,678.90/220,446.90 = 106,037.28/x
  3. Step 3: Cross multiply
    159,678.90x = 220,446.90 × 106,037.28
  4. Step 4: Simplify right side
    159,678.90x = 23,375,589,660.43
  5. Step 5: Solve for x
    x = 23,375,589,660.43/159,678.90
  6. Step 6: Final answer
    x = 146,391.22

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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.