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Finding the Fourth Proportional to 72,800.64, 109,203.12 and 20,214

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Solution

The fourth proportional to 72,800.64, 109,203.12 and 20,214 is: 30,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800.64 : 109,203.12 = 20,214 : x
  2. Step 2: Convert to fraction form
    72,800.64/109,203.12 = 20,214/x
  3. Step 3: Cross multiply
    72,800.64x = 109,203.12 × 20,214
  4. Step 4: Simplify right side
    72,800.64x = 2,207,431,867.68
  5. Step 5: Solve for x
    x = 2,207,431,867.68/72,800.64
  6. Step 6: Final answer
    x = 30,321.60

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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.