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Finding the Fourth Proportional to 159,679.77, 220,361.31 and 103,189.56

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Solution

The fourth proportional to 159,679.77, 220,361.31 and 103,189.56 is: 142,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,679.77 : 220,361.31 = 103,189.56 : x
  2. Step 2: Convert to fraction form
    159,679.77/220,361.31 = 103,189.56/x
  3. Step 3: Cross multiply
    159,679.77x = 220,361.31 × 103,189.56
  4. Step 4: Simplify right side
    159,679.77x = 22,738,986,619.92
  5. Step 5: Solve for x
    x = 22,738,986,619.92/159,679.77
  6. Step 6: Final answer
    x = 142,403.68

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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.