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Finding the Fourth Proportional to 72,798.37, 109,198.16 and 20,211.95

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Solution

The fourth proportional to 72,798.37, 109,198.16 and 20,211.95 is: 30,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798.37 : 109,198.16 = 20,211.95 : x
  2. Step 2: Convert to fraction form
    72,798.37/109,198.16 = 20,211.95/x
  3. Step 3: Cross multiply
    72,798.37x = 109,198.16 × 20,211.95
  4. Step 4: Simplify right side
    72,798.37x = 2,207,107,750.01
  5. Step 5: Solve for x
    x = 2,207,107,750.01/72,798.37
  6. Step 6: Final answer
    x = 30,318.09

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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.