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Finding the Fourth Proportional to 204,073.70, 306,256.35 and 85,829.90

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Solution

The fourth proportional to 204,073.70, 306,256.35 and 85,829.90 is: 128,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,073.70 : 306,256.35 = 85,829.90 : x
  2. Step 2: Convert to fraction form
    204,073.70/306,256.35 = 85,829.90/x
  3. Step 3: Cross multiply
    204,073.70x = 306,256.35 × 85,829.90
  4. Step 4: Simplify right side
    204,073.70x = 26,285,951,894.87
  5. Step 5: Solve for x
    x = 26,285,951,894.87/204,073.70
  6. Step 6: Final answer
    x = 128,806.17

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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.