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Finding the Fourth Proportional to 119,305.70, 178,954.45 and 30,559.97

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Solution

The fourth proportional to 119,305.70, 178,954.45 and 30,559.97 is: 45,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,305.70 : 178,954.45 = 30,559.97 : x
  2. Step 2: Convert to fraction form
    119,305.70/178,954.45 = 30,559.97/x
  3. Step 3: Cross multiply
    119,305.70x = 178,954.45 × 30,559.97
  4. Step 4: Simplify right side
    119,305.70x = 5,468,842,470.57
  5. Step 5: Solve for x
    x = 5,468,842,470.57/119,305.70
  6. Step 6: Final answer
    x = 45,838.91

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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.