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Finding the Fourth Proportional to 206,414.60, 309,621.90 and 101,438.60

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Solution

The fourth proportional to 206,414.60, 309,621.90 and 101,438.60 is: 152,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,414.60 : 309,621.90 = 101,438.60 : x
  2. Step 2: Convert to fraction form
    206,414.60/309,621.90 = 101,438.60/x
  3. Step 3: Cross multiply
    206,414.60x = 309,621.90 × 101,438.60
  4. Step 4: Simplify right side
    206,414.60x = 31,407,612,065.34
  5. Step 5: Solve for x
    x = 31,407,612,065.34/206,414.60
  6. Step 6: Final answer
    x = 152,157.90

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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.