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Finding the Fourth Proportional to 119,229.20, 178,843.80 and 105,750.80

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Solution

The fourth proportional to 119,229.20, 178,843.80 and 105,750.80 is: 158,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,229.20 : 178,843.80 = 105,750.80 : x
  2. Step 2: Convert to fraction form
    119,229.20/178,843.80 = 105,750.80/x
  3. Step 3: Cross multiply
    119,229.20x = 178,843.80 × 105,750.80
  4. Step 4: Simplify right side
    119,229.20x = 18,912,874,925.04
  5. Step 5: Solve for x
    x = 18,912,874,925.04/119,229.20
  6. Step 6: Final answer
    x = 158,626.20

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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.