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Finding the Fourth Proportional to 162,380.70, 243,311.85 and 135,942.30

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Solution

The fourth proportional to 162,380.70, 243,311.85 and 135,942.30 is: 203,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,380.70 : 243,311.85 = 135,942.30 : x
  2. Step 2: Convert to fraction form
    162,380.70/243,311.85 = 135,942.30/x
  3. Step 3: Cross multiply
    162,380.70x = 243,311.85 × 135,942.30
  4. Step 4: Simplify right side
    162,380.70x = 33,076,372,506.26
  5. Step 5: Solve for x
    x = 33,076,372,506.26/162,380.70
  6. Step 6: Final answer
    x = 203,696.45

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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.