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Finding the Fourth Proportional to 89,255.86, 133,879.86 and 30,091.30

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Solution

The fourth proportional to 89,255.86, 133,879.86 and 30,091.30 is: 45,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,255.86 : 133,879.86 = 30,091.30 : x
  2. Step 2: Convert to fraction form
    89,255.86/133,879.86 = 30,091.30/x
  3. Step 3: Cross multiply
    89,255.86x = 133,879.86 × 30,091.30
  4. Step 4: Simplify right side
    89,255.86x = 4,028,619,031.22
  5. Step 5: Solve for x
    x = 4,028,619,031.22/89,255.86
  6. Step 6: Final answer
    x = 45,135.63

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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.