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Finding the Fourth Proportional to 119,103.14, 178,421.14 and 69,078.15

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Solution

The fourth proportional to 119,103.14, 178,421.14 and 69,078.15 is: 103,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,103.14 : 178,421.14 = 69,078.15 : x
  2. Step 2: Convert to fraction form
    119,103.14/178,421.14 = 69,078.15/x
  3. Step 3: Cross multiply
    119,103.14x = 178,421.14 × 69,078.15
  4. Step 4: Simplify right side
    119,103.14x = 12,325,002,272.09
  5. Step 5: Solve for x
    x = 12,325,002,272.09/119,103.14
  6. Step 6: Final answer
    x = 103,481.76

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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.