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Finding the Fourth Proportional to 206,157.12, 308,944.08 and 87,709.20

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Solution

The fourth proportional to 206,157.12, 308,944.08 and 87,709.20 is: 131,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,157.12 : 308,944.08 = 87,709.20 : x
  2. Step 2: Convert to fraction form
    206,157.12/308,944.08 = 87,709.20/x
  3. Step 3: Cross multiply
    206,157.12x = 308,944.08 × 87,709.20
  4. Step 4: Simplify right side
    206,157.12x = 27,097,238,101.54
  5. Step 5: Solve for x
    x = 27,097,238,101.54/206,157.12
  6. Step 6: Final answer
    x = 131,439.74

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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.