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Finding the Fourth Proportional to 132,305.78, 198,416.82 and 43,539.50

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Solution

The fourth proportional to 132,305.78, 198,416.82 and 43,539.50 is: 65,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,305.78 : 198,416.82 = 43,539.50 : x
  2. Step 2: Convert to fraction form
    132,305.78/198,416.82 = 43,539.50/x
  3. Step 3: Cross multiply
    132,305.78x = 198,416.82 × 43,539.50
  4. Step 4: Simplify right side
    132,305.78x = 8,638,969,134.39
  5. Step 5: Solve for x
    x = 8,638,969,134.39/132,305.78
  6. Step 6: Final answer
    x = 65,295.48

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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.