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Finding the Fourth Proportional to 105,107.21, 157,687.81 and 30,233.22

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Solution

The fourth proportional to 105,107.21, 157,687.81 and 30,233.22 is: 45,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.21 : 157,687.81 = 30,233.22 : x
  2. Step 2: Convert to fraction form
    105,107.21/157,687.81 = 30,233.22/x
  3. Step 3: Cross multiply
    105,107.21x = 157,687.81 × 30,233.22
  4. Step 4: Simplify right side
    105,107.21x = 4,767,409,584.14
  5. Step 5: Solve for x
    x = 4,767,409,584.14/105,107.21
  6. Step 6: Final answer
    x = 45,357.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.