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Finding the Fourth Proportional to 208,652.96, 287,914.68 and 123,753.44

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Solution

The fourth proportional to 208,652.96, 287,914.68 and 123,753.44 is: 170,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,652.96 : 287,914.68 = 123,753.44 : x
  2. Step 2: Convert to fraction form
    208,652.96/287,914.68 = 123,753.44/x
  3. Step 3: Cross multiply
    208,652.96x = 287,914.68 × 123,753.44
  4. Step 4: Simplify right side
    208,652.96x = 35,630,432,076.50
  5. Step 5: Solve for x
    x = 35,630,432,076.50/208,652.96
  6. Step 6: Final answer
    x = 170,764.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.