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Finding the Fourth Proportional to 208,676.42, 287,972.04 and 113,183.20

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Solution

The fourth proportional to 208,676.42, 287,972.04 and 113,183.20 is: 156,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,676.42 : 287,972.04 = 113,183.20 : x
  2. Step 2: Convert to fraction form
    208,676.42/287,972.04 = 113,183.20/x
  3. Step 3: Cross multiply
    208,676.42x = 287,972.04 × 113,183.20
  4. Step 4: Simplify right side
    208,676.42x = 32,593,596,997.73
  5. Step 5: Solve for x
    x = 32,593,596,997.73/208,676.42
  6. Step 6: Final answer
    x = 156,192.05

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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.