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Finding the Fourth Proportional to 119,121.76, 178,676.88 and 45,244

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Solution

The fourth proportional to 119,121.76, 178,676.88 and 45,244 is: 67,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,121.76 : 178,676.88 = 45,244 : x
  2. Step 2: Convert to fraction form
    119,121.76/178,676.88 = 45,244/x
  3. Step 3: Cross multiply
    119,121.76x = 178,676.88 × 45,244
  4. Step 4: Simplify right side
    119,121.76x = 8,084,056,758.72
  5. Step 5: Solve for x
    x = 8,084,056,758.72/119,121.76
  6. Step 6: Final answer
    x = 67,863.81

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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.