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Finding the Fourth Proportional to 206,255.16, 309,856.43 and 145,604.88

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Solution

The fourth proportional to 206,255.16, 309,856.43 and 145,604.88 is: 218,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,255.16 : 309,856.43 = 145,604.88 : x
  2. Step 2: Convert to fraction form
    206,255.16/309,856.43 = 145,604.88/x
  3. Step 3: Cross multiply
    206,255.16x = 309,856.43 × 145,604.88
  4. Step 4: Simplify right side
    206,255.16x = 45,116,608,671.39
  5. Step 5: Solve for x
    x = 45,116,608,671.39/206,255.16
  6. Step 6: Final answer
    x = 218,741.72

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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.