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Finding the Fourth Proportional to 78,590.11, 117,819.03 and 34,183.41

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Solution

The fourth proportional to 78,590.11, 117,819.03 and 34,183.41 is: 51,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,590.11 : 117,819.03 = 34,183.41 : x
  2. Step 2: Convert to fraction form
    78,590.11/117,819.03 = 34,183.41/x
  3. Step 3: Cross multiply
    78,590.11x = 117,819.03 × 34,183.41
  4. Step 4: Simplify right side
    78,590.11x = 4,027,456,502.84
  5. Step 5: Solve for x
    x = 4,027,456,502.84/78,590.11
  6. Step 6: Final answer
    x = 51,246.35

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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.