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Finding the Fourth Proportional to 213,628.64, 320,443.64 and 80,473.12

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Solution

The fourth proportional to 213,628.64, 320,443.64 and 80,473.12 is: 120,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,628.64 : 320,443.64 = 80,473.12 : x
  2. Step 2: Convert to fraction form
    213,628.64/320,443.64 = 80,473.12/x
  3. Step 3: Cross multiply
    213,628.64x = 320,443.64 × 80,473.12
  4. Step 4: Simplify right side
    213,628.64x = 25,787,099,494.96
  5. Step 5: Solve for x
    x = 25,787,099,494.96/213,628.64
  6. Step 6: Final answer
    x = 120,709.94

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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.