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Finding the Fourth Proportional to 162,676.80, 243,992.70 and 50,434.20

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Solution

The fourth proportional to 162,676.80, 243,992.70 and 50,434.20 is: 75,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,676.80 : 243,992.70 = 50,434.20 : x
  2. Step 2: Convert to fraction form
    162,676.80/243,992.70 = 50,434.20/x
  3. Step 3: Cross multiply
    162,676.80x = 243,992.70 × 50,434.20
  4. Step 4: Simplify right side
    162,676.80x = 12,305,576,630.34
  5. Step 5: Solve for x
    x = 12,305,576,630.34/162,676.80
  6. Step 6: Final answer
    x = 75,644.32

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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.