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Finding the Fourth Proportional to 189,733.41, 261,821.79 and 104,845

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Solution

The fourth proportional to 189,733.41, 261,821.79 and 104,845 is: 144,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,733.41 : 261,821.79 = 104,845 : x
  2. Step 2: Convert to fraction form
    189,733.41/261,821.79 = 104,845/x
  3. Step 3: Cross multiply
    189,733.41x = 261,821.79 × 104,845
  4. Step 4: Simplify right side
    189,733.41x = 27,450,705,572.55
  5. Step 5: Solve for x
    x = 27,450,705,572.55/189,733.41
  6. Step 6: Final answer
    x = 144,680.40

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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.