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Finding the Fourth Proportional to 162,769.20, 243,808.20 and 135,121.20

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Solution

The fourth proportional to 162,769.20, 243,808.20 and 135,121.20 is: 202,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,769.20 : 243,808.20 = 135,121.20 : x
  2. Step 2: Convert to fraction form
    162,769.20/243,808.20 = 135,121.20/x
  3. Step 3: Cross multiply
    162,769.20x = 243,808.20 × 135,121.20
  4. Step 4: Simplify right side
    162,769.20x = 32,943,656,553.84
  5. Step 5: Solve for x
    x = 32,943,656,553.84/162,769.20
  6. Step 6: Final answer
    x = 202,394.90

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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.