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Finding the Fourth Proportional to 135,910.32, 203,784.72 and 51,676.64

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Solution

The fourth proportional to 135,910.32, 203,784.72 and 51,676.64 is: 77,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,910.32 : 203,784.72 = 51,676.64 : x
  2. Step 2: Convert to fraction form
    135,910.32/203,784.72 = 51,676.64/x
  3. Step 3: Cross multiply
    135,910.32x = 203,784.72 × 51,676.64
  4. Step 4: Simplify right side
    135,910.32x = 10,530,909,612.94
  5. Step 5: Solve for x
    x = 10,530,909,612.94/135,910.32
  6. Step 6: Final answer
    x = 77,484.25

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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.