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Finding the Fourth Proportional to 189,672.26, 261,744.67 and 103,629.40

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Solution

The fourth proportional to 189,672.26, 261,744.67 and 103,629.40 is: 143,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,672.26 : 261,744.67 = 103,629.40 : x
  2. Step 2: Convert to fraction form
    189,672.26/261,744.67 = 103,629.40/x
  3. Step 3: Cross multiply
    189,672.26x = 261,744.67 × 103,629.40
  4. Step 4: Simplify right side
    189,672.26x = 27,124,441,278.43
  5. Step 5: Solve for x
    x = 27,124,441,278.43/189,672.26
  6. Step 6: Final answer
    x = 143,006.90

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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.