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Finding the Fourth Proportional to 204,139.95, 306,216.81 and 156,826.95

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Solution

The fourth proportional to 204,139.95, 306,216.81 and 156,826.95 is: 235,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,139.95 : 306,216.81 = 156,826.95 : x
  2. Step 2: Convert to fraction form
    204,139.95/306,216.81 = 156,826.95/x
  3. Step 3: Cross multiply
    204,139.95x = 306,216.81 × 156,826.95
  4. Step 4: Simplify right side
    204,139.95x = 48,023,048,351.03
  5. Step 5: Solve for x
    x = 48,023,048,351.03/204,139.95
  6. Step 6: Final answer
    x = 235,245.71

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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.