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Finding the Fourth Proportional to 213,552.72, 320,358.51 and 73,293.12

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Solution

The fourth proportional to 213,552.72, 320,358.51 and 73,293.12 is: 109,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,552.72 : 320,358.51 = 73,293.12 : x
  2. Step 2: Convert to fraction form
    213,552.72/320,358.51 = 73,293.12/x
  3. Step 3: Cross multiply
    213,552.72x = 320,358.51 × 73,293.12
  4. Step 4: Simplify right side
    213,552.72x = 23,480,074,716.45
  5. Step 5: Solve for x
    x = 23,480,074,716.45/213,552.72
  6. Step 6: Final answer
    x = 109,949.78

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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.