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Finding the Fourth Proportional to 204,072.70, 306,254.85 and 85,828.90

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Solution

The fourth proportional to 204,072.70, 306,254.85 and 85,828.90 is: 128,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,072.70 : 306,254.85 = 85,828.90 : x
  2. Step 2: Convert to fraction form
    204,072.70/306,254.85 = 85,828.90/x
  3. Step 3: Cross multiply
    204,072.70x = 306,254.85 × 85,828.90
  4. Step 4: Simplify right side
    204,072.70x = 26,285,516,895.17
  5. Step 5: Solve for x
    x = 26,285,516,895.17/204,072.70
  6. Step 6: Final answer
    x = 128,804.67

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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.